Q: What are the prime factors of the number 13,937,416?

 A: 2, 17, 102481

Why are those the prime factors of the number 13,937,416?

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 13,937,416

13,937,416
Factor Arrows
26,968,708
Factor Arrows
23,484,354
Factor Arrows
21,742,177
Factor Arrows
17102,481

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, 17, 102481

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 102,481 = 13,937,416

This can also be written as 23 x 171 x 102,4811 = 13,937,416

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


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