Q: What are the prime factors of the number 372,160?

 A: 2, 5, 1163

Why are those the prime factors of the number 372,160?

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 372,160

372,160
Factor Arrows
2186,080
Factor Arrows
293,040
Factor Arrows
246,520
Factor Arrows
223,260
Factor Arrows
211,630
Factor Arrows
25,815
Factor Arrows
51,163

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, 1163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 1,163 = 372,160

This can also be written as 26 x 51 x 1,1631 = 372,160

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


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