Q: What are the prime factors of the number 627,278,020?

 A: 2, 5, 37, 847673

Why are those the prime factors of the number 627,278,020?

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 627,278,020

627,278,020
Factor Arrows
2313,639,010
Factor Arrows
2156,819,505
Factor Arrows
531,363,901
Factor Arrows
37847,673

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, 37, 847673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 37 x 847,673 = 627,278,020

This can also be written as 22 x 51 x 371 x 847,6731 = 627,278,020

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


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