Q: What are the prime factors of the number 373,512?

 A: 2, 3, 79, 197

Why are those the prime factors of the number 373,512?

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 373,512

373,512
Factor Arrows
2186,756
Factor Arrows
293,378
Factor Arrows
246,689
Factor Arrows
315,563
Factor Arrows
79197

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, 3, 79, 197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 79 x 197 = 373,512

This can also be written as 23 x 31 x 791 x 1971 = 373,512

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


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