Q: What are the prime factors of the number 57,771,702?

 A: 2, 3, 113, 28403

Why are those the prime factors of the number 57,771,702?

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 57,771,702

57,771,702
Factor Arrows
228,885,851
Factor Arrows
39,628,617
Factor Arrows
33,209,539
Factor Arrows
11328,403

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, 3, 113, 28403

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 113 x 28,403 = 57,771,702

This can also be written as 21 x 32 x 1131 x 28,4031 = 57,771,702

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


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