Q: What are the prime factors of the number 22,840,090?

 A: 2, 5, 7, 13, 19, 1321

Why are those the prime factors of the number 22,840,090?

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 22,840,090

22,840,090
Factor Arrows
211,420,045
Factor Arrows
52,284,009
Factor Arrows
7326,287
Factor Arrows
1325,099
Factor Arrows
191,321

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, 7, 13, 19, 1321

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 13 x 19 x 1,321 = 22,840,090

This can also be written as 21 x 51 x 71 x 131 x 191 x 1,3211 = 22,840,090

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


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