Q: What are the prime factors of the number 11,155,900?

 A: 2, 5, 7, 15937

Why are those the prime factors of the number 11,155,900?

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 11,155,900

11,155,900
Factor Arrows
25,577,950
Factor Arrows
22,788,975
Factor Arrows
5557,795
Factor Arrows
5111,559
Factor Arrows
715,937

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, 7, 15937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 7 x 15,937 = 11,155,900

This can also be written as 22 x 52 x 71 x 15,9371 = 11,155,900

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


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