Q: What are the prime factors of the number 370,135,280?

 A: 2, 5, 4626691

Why are those the prime factors of the number 370,135,280?

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 370,135,280

370,135,280
Factor Arrows
2185,067,640
Factor Arrows
292,533,820
Factor Arrows
246,266,910
Factor Arrows
223,133,455
Factor Arrows
54,626,691

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, 4626691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 4,626,691 = 370,135,280

This can also be written as 24 x 51 x 4,626,6911 = 370,135,280

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


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