Q: What are the prime factors of the number 373,874,416?

 A: 2, 139, 168109

Why are those the prime factors of the number 373,874,416?

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 373,874,416

373,874,416
Factor Arrows
2186,937,208
Factor Arrows
293,468,604
Factor Arrows
246,734,302
Factor Arrows
223,367,151
Factor Arrows
139168,109

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, 139, 168109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 139 x 168,109 = 373,874,416

This can also be written as 24 x 1391 x 168,1091 = 373,874,416

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


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