Q: What are the prime factors of the number 22,161,249?

 A: 3, 11, 29, 31, 83

Why are those the prime factors of the number 22,161,249?

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 22,161,249

22,161,249
Factor Arrows
37,387,083
Factor Arrows
32,462,361
Factor Arrows
3820,787
Factor Arrows
1174,617
Factor Arrows
292,573
Factor Arrows
3183

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:

3, 11, 29, 31, 83

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 29 x 31 x 83 = 22,161,249

This can also be written as 33 x 111 x 291 x 311 x 831 = 22,161,249

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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