Q: What are the prime factors of the number 11,344,137?

 A: 3, 7, 77171

Why are those the prime factors of the number 11,344,137?

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 11,344,137

11,344,137
Factor Arrows
33,781,379
Factor Arrows
7540,197
Factor Arrows
777,171

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:

3, 7, 77171

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 77,171 = 11,344,137

This can also be written as 31 x 72 x 77,1711 = 11,344,137

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


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