Q: What are the prime factors of the number 22,206,015?

 A: 3, 5, 13, 12653

Why are those the prime factors of the number 22,206,015?

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 22,206,015

22,206,015
Factor Arrows
37,402,005
Factor Arrows
32,467,335
Factor Arrows
3822,445
Factor Arrows
5164,489
Factor Arrows
1312,653

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, 5, 13, 12653

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 13 x 12,653 = 22,206,015

This can also be written as 33 x 51 x 131 x 12,6531 = 22,206,015

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


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