Q: What are the prime factors of the number 23,655,672?

 A: 2, 3, 109517

Why are those the prime factors of the number 23,655,672?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 23,655,672

23,655,672
Factor Arrows
211,827,836
Factor Arrows
25,913,918
Factor Arrows
22,956,959
Factor Arrows
3985,653
Factor Arrows
3328,551
Factor Arrows
3109,517

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 109517

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 109,517 = 23,655,672

This can also be written as 23 x 33 x 109,5171 = 23,655,672

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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