Q: What are the prime factors of the number 372,880?

 A: 2, 5, 59, 79

Why are those the prime factors of the number 372,880?

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 372,880

372,880
Factor Arrows
2186,440
Factor Arrows
293,220
Factor Arrows
246,610
Factor Arrows
223,305
Factor Arrows
54,661
Factor Arrows
5979

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, 59, 79

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 59 x 79 = 372,880

This can also be written as 24 x 51 x 591 x 791 = 372,880

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


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