Q: What are the prime factors of the number 22,628,350?

 A: 2, 5, 53, 8539

Why are those the prime factors of the number 22,628,350?

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 22,628,350

22,628,350
Factor Arrows
211,314,175
Factor Arrows
52,262,835
Factor Arrows
5452,567
Factor Arrows
538,539

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, 5, 53, 8539

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 53 x 8,539 = 22,628,350

This can also be written as 21 x 52 x 531 x 8,5391 = 22,628,350

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 22,628,350:


Ask a Question