Q: What are the prime factors of the number 11,070,560?

 A: 2, 5, 69191

Why are those the prime factors of the number 11,070,560?

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 11,070,560

11,070,560
Factor Arrows
25,535,280
Factor Arrows
22,767,640
Factor Arrows
21,383,820
Factor Arrows
2691,910
Factor Arrows
2345,955
Factor Arrows
569,191

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, 69191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 69,191 = 11,070,560

This can also be written as 25 x 51 x 69,1911 = 11,070,560

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


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