Q: What are the prime factors of the number 630,712,674?

 A: 2, 3, 67, 173, 3023

Why are those the prime factors of the number 630,712,674?

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 630,712,674

630,712,674
Factor Arrows
2315,356,337
Factor Arrows
3105,118,779
Factor Arrows
335,039,593
Factor Arrows
67522,979
Factor Arrows
1733,023

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, 67, 173, 3023

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 67 x 173 x 3,023 = 630,712,674

This can also be written as 21 x 32 x 671 x 1731 x 3,0231 = 630,712,674

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


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