Q: What are the prime factors of the number 111,120,992?

 A: 2, 3472531

Why are those the prime factors of the number 111,120,992?

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 111,120,992

111,120,992
Factor Arrows
255,560,496
Factor Arrows
227,780,248
Factor Arrows
213,890,124
Factor Arrows
26,945,062
Factor Arrows
23,472,531

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, 3472531

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3,472,531 = 111,120,992

This can also be written as 25 x 3,472,5311 = 111,120,992

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


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