Q: What are the prime factors of the number 15,701,192?

 A: 2, 13, 43, 3511

Why are those the prime factors of the number 15,701,192?

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 15,701,192

15,701,192
Factor Arrows
27,850,596
Factor Arrows
23,925,298
Factor Arrows
21,962,649
Factor Arrows
13150,973
Factor Arrows
433,511

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, 13, 43, 3511

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 43 x 3,511 = 15,701,192

This can also be written as 23 x 131 x 431 x 3,5111 = 15,701,192

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


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