Q: What are the prime factors of the number 372,720?

 A: 2, 3, 5, 1553

Why are those the prime factors of the number 372,720?

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 372,720

372,720
Factor Arrows
2186,360
Factor Arrows
293,180
Factor Arrows
246,590
Factor Arrows
223,295
Factor Arrows
37,765
Factor Arrows
51,553

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, 5, 1553

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 1,553 = 372,720

This can also be written as 24 x 31 x 51 x 1,5531 = 372,720

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


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