Q: What are the prime factors of the number 220,264,528?

 A: 2, 11, 10343

Why are those the prime factors of the number 220,264,528?

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 220,264,528

220,264,528
Factor Arrows
2110,132,264
Factor Arrows
255,066,132
Factor Arrows
227,533,066
Factor Arrows
213,766,533
Factor Arrows
111,251,503
Factor Arrows
11113,773
Factor Arrows
1110,343

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, 11, 10343

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 11 x 11 x 10,343 = 220,264,528

This can also be written as 24 x 113 x 10,3431 = 220,264,528

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 220,264,528:


Ask a Question