Q: What are the prime factors of the number 22,138,452?

 A: 2, 3, 7, 59, 1489

Why are those the prime factors of the number 22,138,452?

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 22,138,452

22,138,452
Factor Arrows
211,069,226
Factor Arrows
25,534,613
Factor Arrows
31,844,871
Factor Arrows
3614,957
Factor Arrows
787,851
Factor Arrows
591,489

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, 7, 59, 1489

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 59 x 1,489 = 22,138,452

This can also be written as 22 x 32 x 71 x 591 x 1,4891 = 22,138,452

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 22,138,452:


Ask a Question