Q: What are the prime factors of the number 940,196?

 A: 2, 19, 89, 139

Why are those the prime factors of the number 940,196?

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 940,196

940,196
Factor Arrows
2470,098
Factor Arrows
2235,049
Factor Arrows
1912,371
Factor Arrows
89139

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, 19, 89, 139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 89 x 139 = 940,196

This can also be written as 22 x 191 x 891 x 1391 = 940,196

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 940,196:


Ask a Question