Q: What are the prime factors of the number 373,600?

 A: 2, 5, 467

Why are those the prime factors of the number 373,600?

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 373,600

373,600
Factor Arrows
2186,800
Factor Arrows
293,400
Factor Arrows
246,700
Factor Arrows
223,350
Factor Arrows
211,675
Factor Arrows
52,335
Factor Arrows
5467

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, 467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 467 = 373,600

This can also be written as 25 x 52 x 4671 = 373,600

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 373,600:


Ask a Question