Q: What are the prime factors of the number 118,755?

 A: 3, 5, 7, 13, 29

Why are those the prime factors of the number 118,755?

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 118,755

118,755
Factor Arrows
339,585
Factor Arrows
313,195
Factor Arrows
52,639
Factor Arrows
7377
Factor Arrows
1329

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, 7, 13, 29

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 13 x 29 = 118,755

This can also be written as 32 x 51 x 71 x 131 x 291 = 118,755

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 118,755:


Ask a Question