Q: What are the prime factors of the number 477,638,704?

 A: 2, 167, 178757

Why are those the prime factors of the number 477,638,704?

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 477,638,704

477,638,704
Factor Arrows
2238,819,352
Factor Arrows
2119,409,676
Factor Arrows
259,704,838
Factor Arrows
229,852,419
Factor Arrows
167178,757

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, 167, 178757

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 167 x 178,757 = 477,638,704

This can also be written as 24 x 1671 x 178,7571 = 477,638,704

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


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