#FutureSTEMLeaders - Wiingy's $2400 scholarship for School and College Students

Apply Now

Factors

Factors of 27 | Prime Factorization of 27 | Factor Tree of 27

Written by Prerit Jain

Updated on: 08 Jun 2023

Contents

1Factors of 12Factors of 23Factors of 34Factors of 45Factors of 56Factors of 67Factors of 78Factors of 89Factors of 910Factors of 1011Factors of 1112Factors of 1213Factors of 1314Factors of 1415Factors of 1516Factors of 1617Factors of 1718Factors of 1819Factors of 1920Factors of 2021Factors of 2122Factors of 2223Factors of 2324Factors of 2425Factors of 2526Factors of 2627Factors of 2728Factors of 2829Factors of 2930Factors of 3031Factors of 3132Factors of 3233Factors of 3334Factors of 3435Factors of 3536Factors of 3637Factors of 3738Factors of 3839Factors of 3940Factors of 4041Factors of 4142Factors of 4243Factors of 4344Factors of 4445Factors of 4546Factors of 4647Factors of 4748Factors of 4849Factors of 4950Factors of 5051Factors of 5152Factors of 5253Factors of 5354Factors of 5455Factors of 5556Factors of 5657Factors of 5758Factors of 5859Factors of 5960Factors of 6061Factors of 6162Factors of 6263Factors of 6364Factors of 6465Factors of 6566Factors of 6667Factors of 6768Factors of 6869Factors of 6970Factors of 7071Factors of 7172Factors of 7273Factors of 7474Factors of 7575Factors of 7676Factors of 7777Factors of 7878Factors of 7979Factors of 8080Factors of 8181Factors of 8282Factors of 8383Factors of 8484Factors of 8585Factors of 8686Factors of 8787Factors of 8888Factors of 8989Factors of 9090Factors of 9191Factors of 9292Factors of 9493Factors of 9694Factors of 9795Factors of 9896Factors of 9997Factors of 10098Factors of 10199Factors of 102100Factors of 103101Factors of 104102Factors of 105103Factors of 106104Factors of 107105Factors of 108106Factors of 109107Factors of 110108Factors of 111109Factors of 112110Factors of 113111Factors of 114112Factors of 115113Factors of 116114Factors of 117115Factors of 118116Factors of 119117Factors of 120118Factors of 122119Factors of 123120Factors of 124121Factors of 125122Factors of 126123Factors of 127124Factors of 128125Factors of 129126Factors of 130127Factors of 131128Factors of 132129Factors of 133130Factors of 134131Factors of 135132Factors of 136133Factors of 137134Factors of 138135Factors of 139136Factors of 140137Factors of 141138Factors of 142139Factors of 143140Factors of 144141Factors of 145142Factors of 146143Factors of 147144Factors of 148145Factors of 149146Factors of 150147Factors of 151148Factors of 152149Factors of 153150Factors of 154151Factors of 155152Factors of 156153Factors of 157154Factors of 158155Factors of 159156Factors of 160157Factors of 161158Factors of 162159Factors of 163160Factors of 167161Factors of 168162Factors of 169163Factors of 170164Factors of 172165Factors of 174166Factors of 176167Factors of 178168Factors of 180169Factors of 182170Factors of 184171Factors of 186172Factors of 188173Factors of 190174Factors of 192175Factors of 194176Factors of 196177Factors of 197178Factors of 200179Factors of 215180Factors of 216181Factors of 415
Factors of 27 | Prime Factorization of 27 | Factor Tree of 27

Factors of 27 | Prime Factorization of 27 | Factor Tree of 27

Factors of 27

Factors of 27Factor Pairs of 27Prime factors of 27
1, 3, 9, 27(1,27) (3,9) (9,3)3 x 3 x 3
Factors of 27, Factor Pairs of 27, Prime factors of 27

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-27/

What are the factors of 27

The factors of a number are the numbers that divide into the given number evenly (without a remainder). There are several methods you can use to find the factors of a number, such as listing, factor pairs, prime factorization, and division.

To find the factors of 27 using the listing method, you can make a list of the numbers from 1 to 27 and check which ones divide into 27 evenly. The factors of 27 are 1, 3, 9, and 27.

To find the factors of 27 using the factor pairs method, you can list the pairs of numbers that multiply together to equal 27. The factor pairs of 27 are (1, 27), (3, 9), and (-1, -27).

To find the factors of 27 using prime factorization, you can start by dividing 27 by the smallest prime number that divides it evenly (in this case, 3). This process can be repeated until you are left with only prime numbers. The prime factorization of 27 is 3 x 3 x 3, which means that the factors of 27 are 1, 3, 9, and 27.

To find the factors of 27 using the division method, you can start by dividing 27 by the smallest possible number (usually 2) and see if the result is a whole number. If it is, then the result is a factor of 27. You can then divide the result by the next smallest possible number and repeat the process until you reach a number that is not a whole number. The factors of 27 that we can find using the division method are 1, 3, and 9.

How to Find Factors of 27

Here are four methods to find the factors of  27:

  1. Factors of 27 using the Multiplication Method
  2. Factors of 27 using the Division Method
  3. Prime Factorization of 27
  4. Factor tree of 27

Factors of 27 Using the Multiplication Method

  1. Start with the number 27.
  2. Divide 27 by the smallest possible number, which is 2. If the result is a whole number, then 2 is a factor of 27. In this case, the result is 13.5, which is not a whole number, so 2 is not a factor of 27.
  3. Divide 27 by the next smallest number, which is 3. If the result is a whole number, then 3 is a factor of 27. In this case, the result is 9, which is a whole number, so 3 is a factor of 27.
  4. Continue dividing 27 by numbers until you reach the square root of 27, which is approximately 5.196.
  5. The factors of 27 are 1, 3, and 9.

To check your work, you can multiply these factors together to see if you get 27. If the product is equal to 27, then you have correctly identified the factors of 27.

Factors of 27 Using the Division Method

  1. Begin by writing down the number 27.
  2. Start dividing 27 by the smallest possible number, which is 1. If the result is a whole number, then 1 is a factor of 27. In this case, the result is 27, which is a whole number, so 1 is a factor of 27.
  3. Continue dividing 27 by numbers until you reach the square root of 27, which is approximately 5.196.
  4. The factors of 27 are 1, 3, and 9.

To confirm your results, you can divide 27 by each of the factors to see if the result is a whole number. If it is, then the factor is a valid factor of 27.

Alternatively, you can also find the factors of 27 by starting with the number 27 and dividing it by the largest possible number, which is 27. The result is 1, so 27 is a factor of 27. You can then continue dividing 27 by numbers in decreasing order until you reach the square root of 27. This will give you the same set of factors as the previous method.

Prime Factorization of 27

Calculate Prime Factors of

The Prime Factors of 27 =

3 x

3 x

3

https://wiingy.com/learn/math/factors-of-27/

The prime factorization of 27 is the expression of 27 as the product of its prime factors. The prime factorization of 27 is 3 x 3 x 3 because 27 can be expressed as the product of three 3s (3 x 3 x 3 = 27).

To find the prime factorization of a number, you can express the number as the product of its prime factors. For example, the prime factorization of 24 is 2 x 2 x 2 x 3, because 24 can be expressed as the product of the prime numbers 2, 2, 2, and 3 (2 x 2 x 2 x 3 = 24).

The prime factorization of a number is written as the product of its prime factors. For example, the prime factorization of 27 is written as 3 x 3 x 3.

Factor tree of 27

273933
https://wiingy.com/learn/math/factors-of-27/

A factor tree is a graphical representation of the prime factorization of a number. It is a way to find the prime factors of a number by breaking it down into smaller and smaller numbers until we are left with only prime numbers. To create a factor tree, we start by writing the number at the top of the tree and then dividing it by the smallest possible prime number that divides it evenly. The result becomes the first branch of the tree. We continue dividing each branch by the smallest possible prime number until we are left with only prime numbers. The prime factorization of 27 is 2 x 11, which means that the prime factors of 27 are 2 and 11.

Factor Pairs of 27

Calculate Pair Factors of

1 x 27=27

3 x 9=27

9 x 3=27

So Pair Factors of 27 are

(1,27)

(3,9)

(9,3)

https://wiingy.com/learn/math/factors-of-27/

The factor pairs of 27 are the pairs of numbers that can be multiplied together to equal 27. These pairs include (1, 27), (3, 9), (9, 3), and (27, 1).

To find the factor pairs of 27, you can use either the multiplication or division method. The multiplication method involves starting with the number 1 and multiplying it by 27 to get the first factor pair, then continuing to multiply by other numbers until you reach the square root of 27. The division method involves starting with the number 27 and dividing it by the smallest possible number, then continuing to divide by other numbers until you reach the square root of 27.

The factors of 27 are 1, 3, and 9, and these numbers can be arranged in different pairs to create the factor pairs of 27. For example, the pair (1, 27) consists of factors 1 and 27, and the pair (3, 9) consists of factors 3 and 9.

Factors of 27 – Quick Recap

  • Factors of 27: 1, 3, 9, and 27.
  • Negative Factors of 27:  (-1, -27) and (-3, -9).
  • Prime Factors of 27: 3 x 3 x 3
  • Prime Factorization of 27: 3 x 3 x 3

Factors of 27 – Fun Facts

1. 27 is a composite number, meaning it has more than two factors.
2. The prime factors of 27 are 3 and 9; 3 x 9 = 27.
3. All multiples of 3 and 9, up to 81, are also factors of 27.
4. At least three consecutive odd numbers need to be multiplied together to create a product that is divisible by 27 (i.e., 3 x 5 x 7 = 105).
5. The sum of all the positive divisors of 27 (excluding itself) is 36, making it a perfect number.
6. There are 8 distinct pairings that can be used to multiply together in order to generate one hundred eleven (i.e., 11×11=111 & 3×37= 111).
7. The greatest common factor (GCF) between any two or more numbers is always less than or equal to the smallest number among them (i.e., for 27 and 36, the GCF is 9).
8.  27 is a perfect cube because it can be expressed as the cube of an integer. It is equal to 3 x 3 x 3, or 3^3.

Also Check: Multiples, Square Root, and LCM


Solved Example of Factor of 27

Q.1:List all the pairs of factors for 27 in increasing order.
Solution:
The pairs of factors for 27 in increasing order are (1,27), (3, 9), and (9, 3).

Q.1:What is the smallest number that can go into 27?
Solution:
The smallest number that can go into 27 is 1 since any number divided by 1 will remain unchanged.

Q.2:Is there any perfect square within the range of numerators from 25 to 29? Solution: Yes, there is one perfect square within this range; 29² = 84.

Q.3:Does 28 have any cube factors? If so name them… 
Solution:
Yes, 28 has two cube factors; 2³ = 8 and 7³ = 343.

Q.4:Find two numbers that multiply together to equal 27.
Solution:
The two numbers that multiply together to equal 27 are 3 and 9 , since 3 x 9 = 27.

Q.5:How many even factors does 27 have?
Solution:
There are two even factors of 27; 2 and 6.

Q.6:Explain why 183568576704081 can be written as a product of three primes.  Solution:183568576704081 can be written as a product of three primes because it can be factored into its prime components as follows – 183568576704081 = 13 × 13 × 17959117.​

 Q.7:What would be the least common multiple between 21 and 24?
Solution:
The least common multiple between 21 and 24 is 504.

Q.8:Find the prime factorization of 27.
Solution:
The prime factorization of 27 is 3 x 3 x 3; since 3 x 3 x 3 =27.

Q.9:What is the greatest common factor for 22 and 26?  
Solution: The greatest common factor for 22 and 26 is 2 since 2 is the only integer between them which can be evenly divided into both numbers without a remainder ​(​no shared divisors)​.

Frequently Asked Questions on Factors of 27

What is the greatest common factor (GCF) of 27?

The greatest common factor (GCF) of 27 is 3; it’s the largest number and both can be divided without a remainder.

How many factors does twenty-seven have?

Twenty-seven has six different factors; these include 1, 3, 9, and
27.

Is 18 a multiple or a factor of 27?

18 is a multiple but not a factor of twenty-seven as it cannot be divided evenly with no remainder (18/27 =0.6666666667).

Find three prime numbers whose product equals eighty-one when multiplied together.

Three prime numbers whose product equals eighty-one when multiplied together are 3, 3, and 9;3x3x9= 81.

Henry needs to divide an equation into equal parts however each part must be divisible by nine; what equation could he use?

Henry could use 54×3=162 as this equation can be divided into two equal parts both divisible by nine (162/9 =18 & 162/18 = 9).

How many odd numbers remain between 1-27 when all even numbers are removed?

Thirteen odd numbers remain between one and twenty-seven when all even numbers are removed; these would include 1, 3, 5, 7, 9, 11, 13, 15, 17 19, 21, 23 & 25.

Find two prime numbers that can only be divided evenly by themselves and one to generate a product that totals eighty-four.

Two prime numbers that can only be divided evenly by themselves and one to generate a product that totals eighty-four are 84 & 1;84×1=84and neither can be divided evenly with another number apart from themselves or one in order to equal eighty-four.

If there are five unequal numbers multiplied together which is the greatest possible total if their product equals ninety?

The greatest possible total if five unequal numbers multiplied together equal ninety is 18;1x2x3x6x18=90

How many pairs of factors are needed in order to multiply together in order to generate one hundred eleven?

Two pairs of factors need multiplying together in order to generate one hundred eleven; these would include 11×11=111 & 3 x37= 111.

What two consecutive odd numbers add up to thirty while their product remains divisible by nine?

Two consecutive odd numbers adding up to thirty while keeping their product divisible by nine are 13& 15(13+15 = 30 & 13×15 =195);195/9 = 2. 

Written by

Prerit Jain

Share article on

tutor Pic
tutor Pic