Q: What are the prime factors of the number 15,355,656?

 A: 2, 3, 2633

Why are those the prime factors of the number 15,355,656?

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 15,355,656

15,355,656
Factor Arrows
27,677,828
Factor Arrows
23,838,914
Factor Arrows
21,919,457
Factor Arrows
3639,819
Factor Arrows
3213,273
Factor Arrows
371,091
Factor Arrows
323,697
Factor Arrows
37,899
Factor Arrows
32,633

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, 2633

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 3 x 3 x 3 x 2,633 = 15,355,656

This can also be written as 23 x 36 x 2,6331 = 15,355,656

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


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