Q: What are the prime factors of the number 21,331,136?

 A: 2, 333299

Why are those the prime factors of the number 21,331,136?

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 21,331,136

21,331,136
Factor Arrows
210,665,568
Factor Arrows
25,332,784
Factor Arrows
22,666,392
Factor Arrows
21,333,196
Factor Arrows
2666,598
Factor Arrows
2333,299

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, 333299

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 333,299 = 21,331,136

This can also be written as 26 x 333,2991 = 21,331,136

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 21,331,136:


Ask a Question