Q: What are the prime factors of the number 20,711,658?

 A: 2, 3, 11, 31, 53, 191

Why are those the prime factors of the number 20,711,658?

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 20,711,658

20,711,658
Factor Arrows
210,355,829
Factor Arrows
33,451,943
Factor Arrows
11313,813
Factor Arrows
3110,123
Factor Arrows
53191

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, 11, 31, 53, 191

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 31 x 53 x 191 = 20,711,658

This can also be written as 21 x 31 x 111 x 311 x 531 x 1911 = 20,711,658

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 20,711,658:


Ask a Question