Q: What are the prime factors of the number 650,540,020?

 A: 2, 5, 13, 17, 53, 2777

Why are those the prime factors of the number 650,540,020?

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 650,540,020

650,540,020
Factor Arrows
2325,270,010
Factor Arrows
2162,635,005
Factor Arrows
532,527,001
Factor Arrows
132,502,077
Factor Arrows
17147,181
Factor Arrows
532,777

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, 13, 17, 53, 2777

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 17 x 53 x 2,777 = 650,540,020

This can also be written as 22 x 51 x 131 x 171 x 531 x 2,7771 = 650,540,020

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


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