Q: What are the prime factors of the number 313,122,110?

 A: 2, 5, 7, 4473173

Why are those the prime factors of the number 313,122,110?

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 313,122,110

313,122,110
Factor Arrows
2156,561,055
Factor Arrows
531,312,211
Factor Arrows
74,473,173

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, 5, 7, 4473173

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 4,473,173 = 313,122,110

This can also be written as 21 x 51 x 71 x 4,473,1731 = 313,122,110

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


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