Q: What are the prime factors of the number 311,570?

 A: 2, 5, 7, 4451

Why are those the prime factors of the number 311,570?

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 311,570

311,570
Factor Arrows
2155,785
Factor Arrows
531,157
Factor Arrows
74,451

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, 4451

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 4,451 = 311,570

This can also be written as 21 x 51 x 71 x 4,4511 = 311,570

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


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