Q: What are the prime factors of the number 22,104,005?

 A: 5, 7, 11, 57413

Why are those the prime factors of the number 22,104,005?

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 22,104,005

22,104,005
Factor Arrows
54,420,801
Factor Arrows
7631,543
Factor Arrows
1157,413

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:

5, 7, 11, 57413

We can check our work by multiplying all of the prime factors together: 5 x 7 x 11 x 57,413 = 22,104,005

This can also be written as 51 x 71 x 111 x 57,4131 = 22,104,005

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


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