Q: What are the prime factors of the number 630,955?

 A: 5, 13, 17, 571

Why are those the prime factors of the number 630,955?

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 630,955

630,955
Factor Arrows
5126,191
Factor Arrows
139,707
Factor Arrows
17571

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:

5, 13, 17, 571

We can check our work by multiplying all of the prime factors together: 5 x 13 x 17 x 571 = 630,955

This can also be written as 51 x 131 x 171 x 5711 = 630,955

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


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