Q: What are the prime factors of the number 375,332,260?

 A: 2, 5, 2591, 7243

Why are those the prime factors of the number 375,332,260?

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 375,332,260

375,332,260
Factor Arrows
2187,666,130
Factor Arrows
293,833,065
Factor Arrows
518,766,613
Factor Arrows
2,5917,243

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, 2591, 7243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 2,591 x 7,243 = 375,332,260

This can also be written as 22 x 51 x 2,5911 x 7,2431 = 375,332,260

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


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