Q: What are the prime factors of the number 630,677,888?

 A: 2, 31, 158941

Why are those the prime factors of the number 630,677,888?

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 630,677,888

630,677,888
Factor Arrows
2315,338,944
Factor Arrows
2157,669,472
Factor Arrows
278,834,736
Factor Arrows
239,417,368
Factor Arrows
219,708,684
Factor Arrows
29,854,342
Factor Arrows
24,927,171
Factor Arrows
31158,941

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, 31, 158941

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31 x 158,941 = 630,677,888

This can also be written as 27 x 311 x 158,9411 = 630,677,888

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


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