Q: What are the prime factors of the number 381,792?

 A: 2, 3, 41, 97

Why are those the prime factors of the number 381,792?

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 381,792

381,792
Factor Arrows
2190,896
Factor Arrows
295,448
Factor Arrows
247,724
Factor Arrows
223,862
Factor Arrows
211,931
Factor Arrows
33,977
Factor Arrows
4197

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, 41, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 41 x 97 = 381,792

This can also be written as 25 x 31 x 411 x 971 = 381,792

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


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