Q: What are the prime factors of the number 376,254?

 A: 2, 3, 20903

Why are those the prime factors of the number 376,254?

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 376,254

376,254
Factor Arrows
2188,127
Factor Arrows
362,709
Factor Arrows
320,903

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, 20903

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 20,903 = 376,254

This can also be written as 21 x 32 x 20,9031 = 376,254

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


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