Q: What are the prime factors of the number 38,475?

 A: 3, 5, 19

Why are those the prime factors of the number 38,475?

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 38,475

38,475
Factor Arrows
312,825
Factor Arrows
34,275
Factor Arrows
31,425
Factor Arrows
3475
Factor Arrows
595
Factor Arrows
519

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:

3, 5, 19

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 5 x 19 = 38,475

This can also be written as 34 x 52 x 191 = 38,475

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 38,475:


Ask a Question