Q: What are the prime factors of the number 373,020,088?

 A: 2, 7, 37, 67, 2687

Why are those the prime factors of the number 373,020,088?

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 373,020,088

373,020,088
Factor Arrows
2186,510,044
Factor Arrows
293,255,022
Factor Arrows
246,627,511
Factor Arrows
76,661,073
Factor Arrows
37180,029
Factor Arrows
672,687

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, 7, 37, 67, 2687

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 37 x 67 x 2,687 = 373,020,088

This can also be written as 23 x 71 x 371 x 671 x 2,6871 = 373,020,088

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


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