Q: What are the prime factors of the number 15,788,736?

 A: 2, 3, 9137

Why are those the prime factors of the number 15,788,736?

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 15,788,736

15,788,736
Factor Arrows
27,894,368
Factor Arrows
23,947,184
Factor Arrows
21,973,592
Factor Arrows
2986,796
Factor Arrows
2493,398
Factor Arrows
2246,699
Factor Arrows
382,233
Factor Arrows
327,411
Factor Arrows
39,137

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, 9137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 9,137 = 15,788,736

This can also be written as 26 x 33 x 9,1371 = 15,788,736

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


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