Q: What are the prime factors of the number 370,637,600?

 A: 2, 5, 463297

Why are those the prime factors of the number 370,637,600?

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 370,637,600

370,637,600
Factor Arrows
2185,318,800
Factor Arrows
292,659,400
Factor Arrows
246,329,700
Factor Arrows
223,164,850
Factor Arrows
211,582,425
Factor Arrows
52,316,485
Factor Arrows
5463,297

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, 463297

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 463,297 = 370,637,600

This can also be written as 25 x 52 x 463,2971 = 370,637,600

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


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