Q: What are the prime factors of the number 13,425,088?

 A: 2, 209767

Why are those the prime factors of the number 13,425,088?

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 13,425,088

13,425,088
Factor Arrows
26,712,544
Factor Arrows
23,356,272
Factor Arrows
21,678,136
Factor Arrows
2839,068
Factor Arrows
2419,534
Factor Arrows
2209,767

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, 209767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 209,767 = 13,425,088

This can also be written as 26 x 209,7671 = 13,425,088

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


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