Q: What are the prime factors of the number 111,033,020?

 A: 2, 5, 7, 137, 827

Why are those the prime factors of the number 111,033,020?

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 111,033,020

111,033,020
Factor Arrows
255,516,510
Factor Arrows
227,758,255
Factor Arrows
55,551,651
Factor Arrows
7793,093
Factor Arrows
7113,299
Factor Arrows
137827

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, 137, 827

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 7 x 137 x 827 = 111,033,020

This can also be written as 22 x 51 x 72 x 1371 x 8271 = 111,033,020

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


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