Q: What are the prime factors of the number 134,050,735?

 A: 5, 7, 13, 101, 2917

Why are those the prime factors of the number 134,050,735?

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 134,050,735

134,050,735
Factor Arrows
526,810,147
Factor Arrows
73,830,021
Factor Arrows
13294,617
Factor Arrows
1012,917

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, 7, 13, 101, 2917

We can check our work by multiplying all of the prime factors together: 5 x 7 x 13 x 101 x 2,917 = 134,050,735

This can also be written as 51 x 71 x 131 x 1011 x 2,9171 = 134,050,735

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 134,050,735:


Ask a Question