Q: What are the prime factors of the number 950,088?

 A: 2, 3, 31, 1277

Why are those the prime factors of the number 950,088?

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 950,088

950,088
Factor Arrows
2475,044
Factor Arrows
2237,522
Factor Arrows
2118,761
Factor Arrows
339,587
Factor Arrows
311,277

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, 31, 1277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 31 x 1,277 = 950,088

This can also be written as 23 x 31 x 311 x 1,2771 = 950,088

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 950,088:


Ask a Question