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

Apply Now

Factors

Factors of 147 | Prime Factorization of 147 | Factor Tree of 147

Written by Prerit Jain

Updated on: 15 Feb 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 147 | Prime Factorization of 147 | Factor Tree of 147

Factors of 147 | Prime Factorization of 147 | Factor Tree of 147

Factors of 147

Factors of 147Factor Pairs of 147Prime factors of 147
1, 3, 7, 21, 49, 147(1,147) (3,49) (7,21) (21,7) (49,3)3 x 7 x 7

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-147/

What are the factors of 147

147 is a prime number, meaning it can only be divided by 1 and itself with no remainder. That’s why the factors of 147 are limited to just two -1 and 147! You could also use trial division from 2 up to sqrt(147) in order to find out what these numbers are. Prime numbers have many useful properties which make them incredibly valuable for applications such as cryptography, coding theory or pseudo-random number generation.

How to Find Factors of 147

The following are the methods through which the factors of a number can be found: 

  • Factor of 124 using Multiplication Method
  • Factors of 124 using Division Method
  • Prime Factorization of 124
  • Factor tree of 124

Factors of 147 using Multiplication Method

Did you know that the prime factorization of 147 is a simple equation? It’s just 1 and itself, meaning it can be represented with an exponential notation: 147^1. As its only two factors are 1 and itself – ordinary multiplication isn’t needed to find them! So there – now you know all about how one number, in particular, works out when we get down into those details.

Factors of 147 Using Division Method

Want to find out the factors of a number? The division method is one way you can do it! Simply divide your original number by every integer greater than 1 and less than itself, then check if there’s no remainder. For example – 147 has two factors: 1 and 147. Try dividing it from 2 all the way up until 12.21 (the square root of 147) – none will be an exact fit so those numbers won’t be factors either!

Prime Factorization of 147

Calculate Prime Factors of

The Prime Factors of 147 =

3 x

7 x

7

https://wiingy.com/learn/math/factors-of-147/

Prime numbers like 147 are unique in that their only factors are 1 and themselves! Therefore, the prime factorization of 147 is just itself raised to the power of one – which can be written as either 147^1 or simply “147”. By understanding a number’s prime factorization, you’ll have insight into it by seeing its components: the raw elements known as prime numbers.

Factor tree of 147

14734977
https://wiingy.com/learn/math/factors-of-147/

Have you ever wondered how mathematicians figure out the prime factors for any given number? It’s all done with a cool visual tool called factor trees! Factor trees help break down numbers into their prime factors by repeatedly dividing it by smaller and smaller numbers. For example, if we wanted to work out the prime factorization of 147 (which is itself since it’s a Prime Number!) then our tree would simply look like this:

This is because 247 can only be divided evenly by 1 and itself – no other divisors. So essentially what that looks like in a picture form when broken up into individual branches on the “tree”, are two lines going from one point straight sideways which stop at nothing–just representing those two original divisors or primes within your total larger number beginning with just 147!

Factor Pairs of 147

Calculate Pair Factors of

1 x 147=147

3 x 49=147

7 x 21=147

21 x 7=147

49 x 3=147

So Pair Factors of 147 are

(1,147)

(3,49)

(7,21)

(21,7)

(49,3)

https://wiingy.com/learn/math/factors-of-147/

To understand factor pairs, let’s look at the number 147. A prime number is a special type of integer which has only two factors: itself and 1! That’s why when we try to find all factor pairs for such numbers, there are usually just one or two possibilities; so in this case (1*147) equals our original value – proving that it does indeed have only one valid pair: (1,147). 

Another way to calculate would be by diving the target figure with each possible divisor till you get an exact whole-number answer every time. For example dividing 147 by its own amount yields 1 while splitting it once more will result in exactly 147 again. This means if your inquiry produces either a remainder or decimal then those can be eliminated from further analysis as they aren’t true answers – since any real world solution must always end up being a round single digit result like here instead!

Factors of 147 – Quick Recap

Factors of 147:   1, 3, 7, 21, 49, 147

Negative Factors of 147: –1, -3, -7, -21, -49, and -147.

Prime Factors of 147: 3 x 7 x 7

Prime Factorization of 147:  3 x 7 x 7

Fun Facts of Factors of 147

  • It’s a prime number, part of the Mersenne Prime Number sequence, and it can be expressed as two different sums of squares! That means if we have 12 x 12 blocks plus 3 x 3 more blocks, then that equals to144 + 9 which is equal to 11×11 block plus 2 X 2 additional ones – or 125 total. 
  • In binary code (1s & 0s) this special number looks like 10010011 – made even cooler because it’s also a palindrome. 
  • Well not only is it an odd prime but its digits add up perfectly divided by itself; in fact they make 1+ 4 + 7 =12- making “147” an awesome Harshad Number too! And did you hear about the element Praseodymium? The symbol “Pr” on your periodic table with Atomic #59 happens to have 14 electrons orbiting around its nucleus… just like our amazing extra specular 8th Lucas Space Ranger–the one and only: NUMBER 149!!!

Examples of Factor of 147

1) What are the factors of 147?
Answer: The factors of 147 are 1, 3, 7, 21, 49, and 147.

2) How many factors does 147 have?
Answer: 147 has 6 different factors.

3) What is the greatest common factor between 147 and 42?
Answer: The greatest common factor between 147 and 42 is 21.

4) What two numbers multiplied together equal 147?
Answer: The two numbers which multiplied together equal 147 are 7 and 21.

5) How many prime numbers are factors of 147?
Answer: Three prime numbers are factors of 147; they are 3, 7, and 47.

6) What pair of integers has a product of 147?
Answer: The pair (7,21) has a product of 147.

7) Divide 147 by its largest factor to find its smallest factor.
Answer: Divide 147 by its largest factor, which is 147, to find its smallest factor; the answer is 1.

8) Find two consecutive odd numbers whose product is equal to 147.
Answer: The two consecutive odd numbers whose product is equal to 147 are 13 and 15 (13 × 15 = 195).

9) Find three consecutive even integers whose sum equals 147.
Answer: The three consecutive even integers whose sum equals 147 are 72, 74, and 76 (72 + 74 + 76 = 222).

10) Find four consecutive multiples of seven that add up to 147.
Answer:
The four consecutive multiples of seven that add up to 147 are 7, 14, 21 , and 28 (7 + 14 + 21 + 28 = 70).

Frequently Asked Questions on Factors of 147

 What are the factors of 147?

The factors of 147 are 1, 3, 7, 21, 49, and 147.

How many factors does 147 have?

There are six different factors of 147.

What is the greatest common factor between 147 and 42?

The greatest common factor between 147 and 42 is 21.

What two numbers multiplied together equal 147?

The two numbers which multiplied together equal 147 are 7 and 21.

How many prime numbers are factors of 147?

Three prime numbers – 3, 7, and 47 – are factors of 147.

What pair of integers has a product of 147?

The pair (7,21) has a product of 147.

Divide 147 by its largest factor to find its smallest factor.

Divide 147 by its largest factor, which is 147, to find its smallest factor; the answer is 1.

Find two consecutive odd numbers whose product is equal to 147.

The two consecutive odd numbers whose product is equal to 147 are 13 and 15 (13 × 15 = 195).

Find three consecutive even integers whose sum equals 147.

The three consecutive even integers whose sum equals 147 are 72, 74, and 76 (72 + 74 + 76 = 222).

Find four consecutive multiples of seven that add up to 147.

The four consecutive multiples of seven that add up to 147 are 7, 14, 21, 28 (7 + 14 + 21 + 28 = 70).

Written by

Prerit Jain

Share article on

tutor Pic
tutor Pic