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Factors

Factors of 20 | Prime Factorization of 20 | Factor Tree of 20

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 20 | Prime Factorization of 20 | Factor Tree of 20

Factors of 20 | Prime Factorization of 20 | Factor Tree of 20

Factors of 20

Factors of 20Factor Pairs of 20Prime factors of 20
1, 2, 4, 5, 10, 20(1,20) (2,10) (4,5) (5,4) (10,2)2 x 2 x 5
Factors of 20, Factor Pairs of 20, Prime factors of 20

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-20/

What are the factors of 20

To find the factors of 20, you can follow these steps:
1. Begin by writing down the number 20.
2. Divide 20 by all the integers from 1 to 20 to find the factors.
3. If the remainder is 0 for any of these divisions, then the corresponding numbers are factors of 20.

For example, when we divide 20 by 1, we get a quotient of 20 and a remainder of 0. This means that 1 is a factor of 20. When we divide 20 by 2, we get a quotient of 10 and a remainder of 0. This means that 2 is a factor of 20. And so on.

The complete list of factors of 20 is 1, 2, 4, 5, 10, 20

Alternatively, you can use the multiplication method to find the factors of 20. To do this, start by writing down the number 20 and then list all the pairs of numbers that can be multiplied together to equal 20. The factors of 20 using the multiplication method are: (1, 20), (2, 10), (4, 5), (5, 4), (10, 2), (20, 1)

Note that the order in which the numbers appear in the pair does not matter, so (1, 20) and (20, 1) are considered the same pair.

How to Find Factors of 20

To find the factors of 20, you can use one of the following methods:

Here are four methods that you can use to find the factors of 20:

  1. Factors of 20 using the Multiplication Method
  2. Factors of 20 using the Division Method
  3. Prime Factorization of 20
  4. Factor tree of 20

Factors of 20 using the Multiplication Method

To find the factors of 20 through multiplication, follow these steps:

  1. Start by writing down the number 20.
  2. Determine all the pairs of numbers that can be multiplied to get 20.
  3. The factors of 20 using the multiplication method are (1, 20), (2, 10), (4, 5), (5, 4), (10, 2), (20, 1).

Remember, the order of the numbers in the pairs does not matter, so (1, 20) and (20, 1) are considered the same pair.

Factors of 20 using the Division Method

To find the factors of 20 using division, follow these steps:

  1. Start by writing down the number 20.
  2. Divide 20 by each integer from 1 to 20.
  3. If the remainder is 0 for any of these divisions, then the corresponding number is a factor of 20.

For example, dividing 20 by 1 results in a quotient of 20 and a remainder of 0, so 1 is a factor of 20. Dividing 20 by 2 gives a quotient of 10 and a remainder of 0, so 2 is a factor of 20. This process can be continued until all the factors of 20 are found.

Using the division method, the complete list of factors of 20 is 1, 2, 4, 5, 10, 20.

Prime Factorization of 20

Calculate Prime Factors of

The Prime Factors of 20 =

2 x

2 x

5

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The prime factorization of 20 is 2 x 2 x 5.

To find the prime factorization of a number, you need to find the prime numbers that can be multiplied together to give the original number. For example, the prime factorization of 20 is 2 x 2 x 5, because 2 and 5 are prime numbers and 20 can be expressed as the product of two 2s and one 5 (2 x 2 x 5 = 20).

The prime factorization of a number is written as the product of its prime factors. For example, the prime factorization of 20 is written as 2 x 2 x 5.

Factor tree of 20

2021025
https://wiingy.com/learn/math/factors-of-20/

To determine the prime factorization of 20 using a factor tree, follow these steps:

  1. Begin by writing down the number 20.
  2. Identify the smallest prime factor of 20. The smallest prime factor of 20 is 2.
  3. Draw a branch from the number 20 and write the prime factor (2) on the branch.
  4. Divide the number 20 by 2 to get 10.
  5. Identify the smallest prime factor of 10. The smallest prime factor of 10 is 2.
  6. Draw a branch from the number 10 and write the prime factor (2) on the branch.
  7. Divide the number 10 by 2 to get 5.
  8. Identify the smallest prime factor of 5. The smallest prime factor of 5 is 5 itself since it is already a prime number.
  9. Draw a branch from the number 5 and write the prime factor (5) on the branch.
  10. The prime factorization of 20 is now complete, so the factor tree is done.

Factor Pairs of 20

Calculate Pair Factors of

1 x 20=20

2 x 10=20

4 x 5=20

5 x 4=20

10 x 2=20

So Pair Factors of 20 are

(1,20)

(2,10)

(4,5)

(5,4)

(10,2)

https://wiingy.com/learn/math/factors-of-20/

To find the pairs of numbers that multiply together to equal 20, you can follow these steps:

  1. Begin by writing down the number 20.
  2. Identify all the pairs of numbers that can be multiplied together to equal 20.
  3. The factor pairs of 20 are (1, 20), (2, 10), (4, 5), (5, 4), (10, 2), (20, 1).

Note that the order of the numbers in each pair does not matter, so (1, 20) and (20, 1) are considered the same pair.

Factors of 20 – Quick Recap

  • Factors of 20: 1, 2, 4, 5, 10, 20.
  • Negative Factors of 20: -1, -2, -4, -5, -10, and -20.
  • Prime Factors of 20: 2 × 2 × 5 
  • Prime Factorization of 20: 2 × 2 × 5

Factors of 20 – Fun Facts

  1. The factors of 20 include both even and odd numbers.
  2. 20 is a composite number, which means it has more than two factors.
  3. The prime factorization of 20 is 2 x 2 x 5.
  4. The sum of the factors of 20 is 32.
  5. The product of the factors of 20 is 160.
  6. The only even perfect square that is a factor of 20 is 4.
  7. The smallest factor of 20 is 1, and the largest factor is 20.
  8. 20 is divisible by all its factors. For example, 20 is divisible by 1, 2, 4, 5, and 10.
  9. The number of factors of 20 is 6.
  10. 20 is a multiple of both 2 and 10.

Also Check: Multiples, Square Root, and LCM

Solved Examples of Factor of 20

Q.1:What is the greatest common factor (GCF) of 20?
Answer: The greatest common factor (GCF) of 20 is 4; it’s the largest number by which both can be divided without a remainder.

Q.2: How many factors does twenty have?
Solution: Twenty has six different factors; these include 1, 2, 4, 5, 10, and 20.

Q.3: Find three prime numbers whose product equals forty when multiplied together.
Solution:
Three prime numbers whose product equals forty when multiplied together are 2, 3, and 5; 2x3x5= 40.

Q.3: Is 18 a multiple or a factor of 20?
Solution:
18 is a multiple but not a factor of twenty as it cannot be divided evenly with no remainder (18/20 = 0.9).

Q.4: Ashley needs to divide an equation into equal parts however each part must be divisible by four; what equation could she use?
Solution:
Ashley could use 16×8=128 as this equation can be divided into two equal parts both divisible by four (128/4 = 32 & 128/32 = 4).

Q.5: How many odd numbers remain between 1-20 when all even numbers are removed?
Solution:
Nine odd numbers remain between one and twenty when all even numbers are removed; these would include 1, 3, 5, 7, 9, 11, 13, 15, and 19.

Q.6: Find two prime numbers that can only be divided evenly by themselves and one to generate a product that totals sixteen.
Solution:
Two prime numbers that can only be divided evenly by themselves and one to generate a product that totals sixteen are 2 and 8; 2×8=16 and neither can be divided evenly with another number apart from themselves or one in order to equal sixteen.

Q.7: If there are five unequal numbers multiplied together which is the greatest possible total if their product equals thirty-two?
Solution:
The greatest possible total if five unequal numbers multiplied together equal thirty-two is 6; 1x2x4x8x6= 32.

Q.8: How many pairs of factors are needed in order to multiply together in order to generate sixty-four?
Solution: Two pairs of factors need multiplying together in order to generate sixty-four; these would include 8×8=64 & 4×16=64.

Q.9: What two consecutive odd numbers add up to fourteen while their product remains divisible by five?
Solution:
Two consecutive odd numbers adding up to fourteen while keeping their product divisible by five are 7 & 9 (7+9 = 16 & 7×9 = 63); 63/5 = 12. 

Frequently Asked Questions on Factors of 20

What is the greatest common factor (GCF) of 20?

The greatest common factor (GCF) of 20 is 4; it’s the largest number by which both can be divided without a remainder.

How many factors does twenty have?

Twenty has six different factors; these include 1, 2, 4, 5, 10, and 20.

How many odd numbers remain between 1-20 when all even numbers are removed?

Nine odd numbers remain between one and twenty when all even numbers are removed; these would include 1, 3, 5, 7, 9, 11, 13, 15, and 19.

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

Two prime numbers that can only be divided evenly by themselves and one to generate a product that totals sixteen are 2 and 8; 2×8=16 and neither can be divided evenly with another number apart from themselves or one in order to equal sixteen.

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

The greatest possible total if five unequal numbers multiplied together equal thirty-two is 6; 1x2x4x8x6= 32.

Is 18 a multiple or a factor of 20?

18 is a multiple but not a factor of twenty as it cannot be divided evenly with no remainder (18/20 = 0.9).

How many pairs of factors are needed in order to multiply together in order to generate sixty-four?

Two pairs of factors need multiplying together in order to generate sixty-four; these would include 8×8=64 & 4×16=64.

Find three prime numbers which multiplied together and generate a product that is divisible by five.

Three prime numbers multiplied together to generate a product that is divisible by five are 3, 5, and 7; 3x5x7= 105 and 105/5= 21.

Danny needs to reduce an equation by half but keep it divisible by five; what equation could he use?

Danny could use 10×2=20 as this equation can be reduced by half while still staying divisible by five (10/2=5 and 20/5=4).

What two consecutive odd numbers add up to fourteen while their product remains divisible by five?

Two consecutive odd numbers adding up to fourteen while keeping their product divisible by five are 7 & 9 (7+9 = 16 & 7×9 = 63); 63/5 = 12.

Written by

Prerit Jain

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