Q: What are the prime factors of the number 11,111,100?

 A: 2, 3, 5, 7, 11, 13, 37

Why are those the prime factors of the number 11,111,100?

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 11,111,100

11,111,100
Factor Arrows
25,555,550
Factor Arrows
22,777,775
Factor Arrows
3925,925
Factor Arrows
5185,185
Factor Arrows
537,037
Factor Arrows
75,291
Factor Arrows
11481
Factor Arrows
1337

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, 7, 11, 13, 37

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 7 x 11 x 13 x 37 = 11,111,100

This can also be written as 22 x 31 x 52 x 71 x 111 x 131 x 371 = 11,111,100

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


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