Q: What are the prime factors of the number 307,570?

 A: 2, 5, 30757

Why are those the prime factors of the number 307,570?

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 307,570

307,570
Factor Arrows
2153,785
Factor Arrows
530,757

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, 30757

We can check our work by multiplying all of the prime factors together: 2 x 5 x 30,757 = 307,570

This can also be written as 21 x 51 x 30,7571 = 307,570

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


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