Q: What are the prime factors of the number 375,425,312?

 A: 2, 227, 51683

Why are those the prime factors of the number 375,425,312?

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 375,425,312

375,425,312
Factor Arrows
2187,712,656
Factor Arrows
293,856,328
Factor Arrows
246,928,164
Factor Arrows
223,464,082
Factor Arrows
211,732,041
Factor Arrows
22751,683

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, 227, 51683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 227 x 51,683 = 375,425,312

This can also be written as 25 x 2271 x 51,6831 = 375,425,312

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


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