Q: What are the prime factors of the number 375,262,443?

 A: 3, 13898609

Why are those the prime factors of the number 375,262,443?

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 375,262,443

375,262,443
Factor Arrows
3125,087,481
Factor Arrows
341,695,827
Factor Arrows
313,898,609

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:

3, 13898609

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13,898,609 = 375,262,443

This can also be written as 33 x 13,898,6091 = 375,262,443

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


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