Q: What are the prime factors of the number 394,575,032?

 A: 2, 17, 227, 12781

Why are those the prime factors of the number 394,575,032?

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 394,575,032

394,575,032
Factor Arrows
2197,287,516
Factor Arrows
298,643,758
Factor Arrows
249,321,879
Factor Arrows
172,901,287
Factor Arrows
22712,781

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, 17, 227, 12781

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 227 x 12,781 = 394,575,032

This can also be written as 23 x 171 x 2271 x 12,7811 = 394,575,032

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


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