Q: What are the prime factors of the number 111,322,120?

 A: 2, 5, 7, 13, 17, 257

Why are those the prime factors of the number 111,322,120?

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 111,322,120

111,322,120
Factor Arrows
255,661,060
Factor Arrows
227,830,530
Factor Arrows
213,915,265
Factor Arrows
52,783,053
Factor Arrows
7397,579
Factor Arrows
756,797
Factor Arrows
134,369
Factor Arrows
17257

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, 13, 17, 257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 7 x 13 x 17 x 257 = 111,322,120

This can also be written as 23 x 51 x 72 x 131 x 171 x 2571 = 111,322,120

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


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