Q: What are the prime factors of the number 15,992,640?

 A: 2, 3, 5, 617

Why are those the prime factors of the number 15,992,640?

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 15,992,640

15,992,640
Factor Arrows
27,996,320
Factor Arrows
23,998,160
Factor Arrows
21,999,080
Factor Arrows
2999,540
Factor Arrows
2499,770
Factor Arrows
2249,885
Factor Arrows
383,295
Factor Arrows
327,765
Factor Arrows
39,255
Factor Arrows
33,085
Factor Arrows
5617

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, 5, 617

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 3 x 5 x 617 = 15,992,640

This can also be written as 26 x 34 x 51 x 6171 = 15,992,640

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


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