Q: What are the prime factors of the number 425,672,784?

 A: 2, 3, 2956061

Why are those the prime factors of the number 425,672,784?

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 425,672,784

425,672,784
Factor Arrows
2212,836,392
Factor Arrows
2106,418,196
Factor Arrows
253,209,098
Factor Arrows
226,604,549
Factor Arrows
38,868,183
Factor Arrows
32,956,061

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, 2956061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 2,956,061 = 425,672,784

This can also be written as 24 x 32 x 2,956,0611 = 425,672,784

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


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