Q: What are the prime factors of the number 10,417,887?

 A: 3, 173, 6691

Why are those the prime factors of the number 10,417,887?

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 10,417,887

10,417,887
Factor Arrows
33,472,629
Factor Arrows
31,157,543
Factor Arrows
1736,691

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, 173, 6691

We can check our work by multiplying all of the prime factors together: 3 x 3 x 173 x 6,691 = 10,417,887

This can also be written as 32 x 1731 x 6,6911 = 10,417,887

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


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