Examples on Prime Factorization

Question

Find the prime factorization of 24 ?

Answer 1

 

Step 1 :  The factors of 24 = {1, 2, 3, 4, 6, 8, 12, 24}

 

Step 2 :  The prime numbers are: 2 and 3

So, the prime factorization for 24 is 2×2×2×3.

 

Answer  :  2×2×2×3

 

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Answer 2

Prime Factorization of 24 

• The first pair of factors for 24 is 6 and 4
• The prime factors of 6 are 3 and 2 
• The prime factors of 4 are 2 and 2

Therefore, the prime factors of 24 are 3, 2, 2 and 2

Answer 3

2846

Answer 4

Start with the smallest prime, 2, and keep dividing the remainder:

24

= 2 x 12

= 2 x 2 x 6

= 2 x 2 x 2 x 3

You would normally repeat this with the next prime (3), however, the remainder is only 3 which is prime and can't be factored further.

You can check this and other prime factorizations here:

http://statsfiddle.info/Primes/PrimeFactors/24