Q: What are the prime factors of the number 377,245,072?

 A: 2, 479, 49223

Why are those the prime factors of the number 377,245,072?

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 377,245,072

377,245,072
Factor Arrows
2188,622,536
Factor Arrows
294,311,268
Factor Arrows
247,155,634
Factor Arrows
223,577,817
Factor Arrows
47949,223

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, 479, 49223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 479 x 49,223 = 377,245,072

This can also be written as 24 x 4791 x 49,2231 = 377,245,072

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


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