Q: What are the prime factors of the number 27,230,540?

 A: 2, 5, 599, 2273

Why are those the prime factors of the number 27,230,540?

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 27,230,540

27,230,540
Factor Arrows
213,615,270
Factor Arrows
26,807,635
Factor Arrows
51,361,527
Factor Arrows
5992,273

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, 5, 599, 2273

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 599 x 2,273 = 27,230,540

This can also be written as 22 x 51 x 5991 x 2,2731 = 27,230,540

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


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