Q: What are the prime factors of the number 630,705,708?

 A: 2, 3, 883, 19841

Why are those the prime factors of the number 630,705,708?

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 630,705,708

630,705,708
Factor Arrows
2315,352,854
Factor Arrows
2157,676,427
Factor Arrows
352,558,809
Factor Arrows
317,519,603
Factor Arrows
88319,841

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, 883, 19841

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 883 x 19,841 = 630,705,708

This can also be written as 22 x 32 x 8831 x 19,8411 = 630,705,708

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


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