Q: What are the prime factors of the number 15,714,335?

 A: 5, 7, 13, 34537

Why are those the prime factors of the number 15,714,335?

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 15,714,335

15,714,335
Factor Arrows
53,142,867
Factor Arrows
7448,981
Factor Arrows
1334,537

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:

5, 7, 13, 34537

We can check our work by multiplying all of the prime factors together: 5 x 7 x 13 x 34,537 = 15,714,335

This can also be written as 51 x 71 x 131 x 34,5371 = 15,714,335

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


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