Q: What are the prime factors of the number 22,232,133?

 A: 3, 7, 11, 4583

Why are those the prime factors of the number 22,232,133?

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 22,232,133

22,232,133
Factor Arrows
37,410,711
Factor Arrows
32,470,237
Factor Arrows
7352,891
Factor Arrows
750,413
Factor Arrows
114,583

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, 7, 11, 4583

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 11 x 4,583 = 22,232,133

This can also be written as 32 x 72 x 111 x 4,5831 = 22,232,133

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


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