Q: What are the prime factors of the number 13,607,392?

 A: 2, 61, 6971

Why are those the prime factors of the number 13,607,392?

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 13,607,392

13,607,392
Factor Arrows
26,803,696
Factor Arrows
23,401,848
Factor Arrows
21,700,924
Factor Arrows
2850,462
Factor Arrows
2425,231
Factor Arrows
616,971

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, 61, 6971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 61 x 6,971 = 13,607,392

This can also be written as 25 x 611 x 6,9711 = 13,607,392

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


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