Q: What are the prime factors of the number 383,264?

 A: 2, 7, 29, 59

Why are those the prime factors of the number 383,264?

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 383,264

383,264
Factor Arrows
2191,632
Factor Arrows
295,816
Factor Arrows
247,908
Factor Arrows
223,954
Factor Arrows
211,977
Factor Arrows
71,711
Factor Arrows
2959

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, 7, 29, 59

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 29 x 59 = 383,264

This can also be written as 25 x 71 x 291 x 591 = 383,264

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


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