Q: What are the prime factors of the number 670,311,271?

 A: 7, 137, 797, 877

Why are those the prime factors of the number 670,311,271?

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 670,311,271

670,311,271
Factor Arrows
795,758,753
Factor Arrows
137698,969
Factor Arrows
797877

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:

7, 137, 797, 877

We can check our work by multiplying all of the prime factors together: 7 x 137 x 797 x 877 = 670,311,271

This can also be written as 71 x 1371 x 7971 x 8771 = 670,311,271

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


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