Q: What are the prime factors of the number 630,610,146?

 A: 2, 3, 35033897

Why are those the prime factors of the number 630,610,146?

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 630,610,146

630,610,146
Factor Arrows
2315,305,073
Factor Arrows
3105,101,691
Factor Arrows
335,033,897

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, 35033897

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 35,033,897 = 630,610,146

This can also be written as 21 x 32 x 35,033,8971 = 630,610,146

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


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