Q: What are the prime factors of the number 11,583,080?

 A: 2, 5, 289577

Why are those the prime factors of the number 11,583,080?

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 11,583,080

11,583,080
Factor Arrows
25,791,540
Factor Arrows
22,895,770
Factor Arrows
21,447,885
Factor Arrows
5289,577

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, 289577

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 289,577 = 11,583,080

This can also be written as 23 x 51 x 289,5771 = 11,583,080

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


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