Q: What are the prime factors of the number 15,891,712?

 A: 2, 23, 2699

Why are those the prime factors of the number 15,891,712?

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 15,891,712

15,891,712
Factor Arrows
27,945,856
Factor Arrows
23,972,928
Factor Arrows
21,986,464
Factor Arrows
2993,232
Factor Arrows
2496,616
Factor Arrows
2248,308
Factor Arrows
2124,154
Factor Arrows
262,077
Factor Arrows
232,699

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, 23, 2699

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 2 x 2 x 23 x 2,699 = 15,891,712

This can also be written as 28 x 231 x 2,6991 = 15,891,712

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


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