Q: What are the prime factors of the number 31,002,210?

 A: 2, 3, 5, 199, 577

Why are those the prime factors of the number 31,002,210?

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 31,002,210

31,002,210
Factor Arrows
215,501,105
Factor Arrows
35,167,035
Factor Arrows
31,722,345
Factor Arrows
3574,115
Factor Arrows
5114,823
Factor Arrows
199577

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, 3, 5, 199, 577

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 199 x 577 = 31,002,210

This can also be written as 21 x 33 x 51 x 1991 x 5771 = 31,002,210

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


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