Q: What are the prime factors of the number 11,000,100?

 A: 2, 3, 5, 37, 991

Why are those the prime factors of the number 11,000,100?

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 11,000,100

11,000,100
Factor Arrows
25,500,050
Factor Arrows
22,750,025
Factor Arrows
3916,675
Factor Arrows
5183,335
Factor Arrows
536,667
Factor Arrows
37991

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, 3, 5, 37, 991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 37 x 991 = 11,000,100

This can also be written as 22 x 31 x 52 x 371 x 9911 = 11,000,100

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


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