Q: What are the prime factors of the number 373,376?

 A: 2, 2917

Why are those the prime factors of the number 373,376?

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 373,376

373,376
Factor Arrows
2186,688
Factor Arrows
293,344
Factor Arrows
246,672
Factor Arrows
223,336
Factor Arrows
211,668
Factor Arrows
25,834
Factor Arrows
22,917

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, 2917

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2,917 = 373,376

This can also be written as 27 x 2,9171 = 373,376

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


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