Q: What are the prime factors of the number 373,400?

 A: 2, 5, 1867

Why are those the prime factors of the number 373,400?

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 373,400

373,400
Factor Arrows
2186,700
Factor Arrows
293,350
Factor Arrows
246,675
Factor Arrows
59,335
Factor Arrows
51,867

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, 5, 1867

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 1,867 = 373,400

This can also be written as 23 x 52 x 1,8671 = 373,400

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


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