Q: What are the prime factors of the number 373,356,540?

 A: 2, 3, 5, 230467

Why are those the prime factors of the number 373,356,540?

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 373,356,540

373,356,540
Factor Arrows
2186,678,270
Factor Arrows
293,339,135
Factor Arrows
331,113,045
Factor Arrows
310,371,015
Factor Arrows
33,457,005
Factor Arrows
31,152,335
Factor Arrows
5230,467

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, 230467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 230,467 = 373,356,540

This can also be written as 22 x 34 x 51 x 230,4671 = 373,356,540

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


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