Q: What are the prime factors of the number 26,622,018?

 A: 2, 3, 37, 71, 563

Why are those the prime factors of the number 26,622,018?

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 26,622,018

26,622,018
Factor Arrows
213,311,009
Factor Arrows
34,437,003
Factor Arrows
31,479,001
Factor Arrows
3739,973
Factor Arrows
71563

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, 3, 37, 71, 563

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 37 x 71 x 563 = 26,622,018

This can also be written as 21 x 32 x 371 x 711 x 5631 = 26,622,018

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


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