Q: What are the prime factors of the number 34,775?

 A: 5, 13, 107

Why are those the prime factors of the number 34,775?

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 34,775

34,775
Factor Arrows
56,955
Factor Arrows
51,391
Factor Arrows
13107

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:

5, 13, 107

We can check our work by multiplying all of the prime factors together: 5 x 5 x 13 x 107 = 34,775

This can also be written as 52 x 131 x 1071 = 34,775

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 34,775:


Ask a Question