Q: What are the prime factors of the number 151,504?

 A: 2, 17, 557

Why are those the prime factors of the number 151,504?

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 151,504

151,504
Factor Arrows
275,752
Factor Arrows
237,876
Factor Arrows
218,938
Factor Arrows
29,469
Factor Arrows
17557

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, 17, 557

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 557 = 151,504

This can also be written as 24 x 171 x 5571 = 151,504

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 151,504:


Ask a Question