Q: What are the prime factors of the number 372,576?

 A: 2, 3, 3881

Why are those the prime factors of the number 372,576?

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 372,576

372,576
Factor Arrows
2186,288
Factor Arrows
293,144
Factor Arrows
246,572
Factor Arrows
223,286
Factor Arrows
211,643
Factor Arrows
33,881

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, 3881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3,881 = 372,576

This can also be written as 25 x 31 x 3,8811 = 372,576

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


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