Q: What are the prime factors of the number 457,706,020?

 A: 2, 5, 22885301

Why are those the prime factors of the number 457,706,020?

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 457,706,020

457,706,020
Factor Arrows
2228,853,010
Factor Arrows
2114,426,505
Factor Arrows
522,885,301

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, 22885301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 22,885,301 = 457,706,020

This can also be written as 22 x 51 x 22,885,3011 = 457,706,020

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


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