Q: What are the prime factors of the number 15,691,172?

 A: 2, 7, 223, 359

Why are those the prime factors of the number 15,691,172?

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 15,691,172

15,691,172
Factor Arrows
27,845,586
Factor Arrows
23,922,793
Factor Arrows
7560,399
Factor Arrows
780,057
Factor Arrows
223359

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, 7, 223, 359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 223 x 359 = 15,691,172

This can also be written as 22 x 72 x 2231 x 3591 = 15,691,172

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


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