Q: What are the prime factors of the number 27,321,456?

 A: 2, 3, 569197

Why are those the prime factors of the number 27,321,456?

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 27,321,456

27,321,456
Factor Arrows
213,660,728
Factor Arrows
26,830,364
Factor Arrows
23,415,182
Factor Arrows
21,707,591
Factor Arrows
3569,197

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, 569197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 569,197 = 27,321,456

This can also be written as 24 x 31 x 569,1971 = 27,321,456

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


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