Q: What are the prime factors of the number 630,002,061?

 A: 3, 13, 29, 185677

Why are those the prime factors of the number 630,002,061?

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 630,002,061

630,002,061
Factor Arrows
3210,000,687
Factor Arrows
370,000,229
Factor Arrows
135,384,633
Factor Arrows
29185,677

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:

3, 13, 29, 185677

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 29 x 185,677 = 630,002,061

This can also be written as 32 x 131 x 291 x 185,6771 = 630,002,061

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


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