Q: What are the prime factors of the number 372,492?

 A: 2, 3, 3449

Why are those the prime factors of the number 372,492?

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 372,492

372,492
Factor Arrows
2186,246
Factor Arrows
293,123
Factor Arrows
331,041
Factor Arrows
310,347
Factor Arrows
33,449

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, 3449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3,449 = 372,492

This can also be written as 22 x 33 x 3,4491 = 372,492

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


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