Q: What are the prime factors of the number 158,841?

 A: 3, 37, 53

Why are those the prime factors of the number 158,841?

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 158,841

158,841
Factor Arrows
352,947
Factor Arrows
317,649
Factor Arrows
35,883
Factor Arrows
31,961
Factor Arrows
3753

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, 37, 53

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 37 x 53 = 158,841

This can also be written as 34 x 371 x 531 = 158,841

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 158,841:


Ask a Question