Q: What are the prime factors of the number 27,502,432?

 A: 2, 557, 1543

Why are those the prime factors of the number 27,502,432?

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 27,502,432

27,502,432
Factor Arrows
213,751,216
Factor Arrows
26,875,608
Factor Arrows
23,437,804
Factor Arrows
21,718,902
Factor Arrows
2859,451
Factor Arrows
5571,543

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, 557, 1543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 557 x 1,543 = 27,502,432

This can also be written as 25 x 5571 x 1,5431 = 27,502,432

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


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