Q: What are the prime factors of the number 26,640,528?

 A: 2, 3, 199, 2789

Why are those the prime factors of the number 26,640,528?

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 26,640,528

26,640,528
Factor Arrows
213,320,264
Factor Arrows
26,660,132
Factor Arrows
23,330,066
Factor Arrows
21,665,033
Factor Arrows
3555,011
Factor Arrows
1992,789

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, 199, 2789

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 199 x 2,789 = 26,640,528

This can also be written as 24 x 31 x 1991 x 2,7891 = 26,640,528

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


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