Q: What are the prime factors of the number 457,826,634?

 A: 2, 3, 8478271

Why are those the prime factors of the number 457,826,634?

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 457,826,634

457,826,634
Factor Arrows
2228,913,317
Factor Arrows
376,304,439
Factor Arrows
325,434,813
Factor Arrows
38,478,271

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, 8478271

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 8,478,271 = 457,826,634

This can also be written as 21 x 33 x 8,478,2711 = 457,826,634

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


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