Q: What are the prime factors of the number 372,876?

 A: 2, 3, 7, 23, 193

Why are those the prime factors of the number 372,876?

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 372,876

372,876
Factor Arrows
2186,438
Factor Arrows
293,219
Factor Arrows
331,073
Factor Arrows
74,439
Factor Arrows
23193

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, 7, 23, 193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 23 x 193 = 372,876

This can also be written as 22 x 31 x 71 x 231 x 1931 = 372,876

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


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