Q: What are the prime factors of the number 372,280?

 A: 2, 5, 41, 227

Why are those the prime factors of the number 372,280?

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 372,280

372,280
Factor Arrows
2186,140
Factor Arrows
293,070
Factor Arrows
246,535
Factor Arrows
59,307
Factor Arrows
41227

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, 5, 41, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 41 x 227 = 372,280

This can also be written as 23 x 51 x 411 x 2271 = 372,280

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


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