Q: What are the prime factors of the number 20,132,224?

 A: 2, 7, 22469

Why are those the prime factors of the number 20,132,224?

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 20,132,224

20,132,224
Factor Arrows
210,066,112
Factor Arrows
25,033,056
Factor Arrows
22,516,528
Factor Arrows
21,258,264
Factor Arrows
2629,132
Factor Arrows
2314,566
Factor Arrows
2157,283
Factor Arrows
722,469

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, 7, 22469

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 2 x 7 x 22,469 = 20,132,224

This can also be written as 27 x 71 x 22,4691 = 20,132,224

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 20,132,224:


Ask a Question