Q: What are the prime factors of the number 374,486,585?

 A: 5, 11, 193, 35279

Why are those the prime factors of the number 374,486,585?

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 374,486,585

374,486,585
Factor Arrows
574,897,317
Factor Arrows
116,808,847
Factor Arrows
19335,279

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:

5, 11, 193, 35279

We can check our work by multiplying all of the prime factors together: 5 x 11 x 193 x 35,279 = 374,486,585

This can also be written as 51 x 111 x 1931 x 35,2791 = 374,486,585

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


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