Q: What are the prime factors of the number 372,655,704?

 A: 2, 3, 15527321

Why are those the prime factors of the number 372,655,704?

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 372,655,704

372,655,704
Factor Arrows
2186,327,852
Factor Arrows
293,163,926
Factor Arrows
246,581,963
Factor Arrows
315,527,321

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, 15527321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 15,527,321 = 372,655,704

This can also be written as 23 x 31 x 15,527,3211 = 372,655,704

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


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