Q: What are the prime factors of the number 226,036,224?

 A: 2, 3, 83, 197

Why are those the prime factors of the number 226,036,224?

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 226,036,224

226,036,224
Factor Arrows
2113,018,112
Factor Arrows
256,509,056
Factor Arrows
228,254,528
Factor Arrows
214,127,264
Factor Arrows
27,063,632
Factor Arrows
23,531,816
Factor Arrows
21,765,908
Factor Arrows
2882,954
Factor Arrows
2441,477
Factor Arrows
3147,159
Factor Arrows
349,053
Factor Arrows
316,351
Factor Arrows
83197

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, 83, 197

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 2 x 2 x 3 x 3 x 3 x 83 x 197 = 226,036,224

This can also be written as 29 x 33 x 831 x 1971 = 226,036,224

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 226,036,224:


Ask a Question