Q: What are the prime factors of the number 134,850?

 A: 2, 3, 5, 29, 31

Why are those the prime factors of the number 134,850?

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 134,850

134,850
Factor Arrows
267,425
Factor Arrows
322,475
Factor Arrows
54,495
Factor Arrows
5899
Factor Arrows
2931

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, 3, 5, 29, 31

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 29 x 31 = 134,850

This can also be written as 21 x 31 x 52 x 291 x 311 = 134,850

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 134,850:


Ask a Question