Q: What are the prime factors of the number 613,031,020?

 A: 2, 5, 7, 347, 12619

Why are those the prime factors of the number 613,031,020?

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 613,031,020

613,031,020
Factor Arrows
2306,515,510
Factor Arrows
2153,257,755
Factor Arrows
530,651,551
Factor Arrows
74,378,793
Factor Arrows
34712,619

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, 5, 7, 347, 12619

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 347 x 12,619 = 613,031,020

This can also be written as 22 x 51 x 71 x 3471 x 12,6191 = 613,031,020

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


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