Q: What are the prime factors of the number 394,575,028?

 A: 2, 23, 83, 51673

Why are those the prime factors of the number 394,575,028?

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 394,575,028

394,575,028
Factor Arrows
2197,287,514
Factor Arrows
298,643,757
Factor Arrows
234,288,859
Factor Arrows
8351,673

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, 23, 83, 51673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 83 x 51,673 = 394,575,028

This can also be written as 22 x 231 x 831 x 51,6731 = 394,575,028

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


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