Q: What are the prime factors of the number 111,838,080?

 A: 2, 3, 5, 31, 1879

Why are those the prime factors of the number 111,838,080?

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 111,838,080

111,838,080
Factor Arrows
255,919,040
Factor Arrows
227,959,520
Factor Arrows
213,979,760
Factor Arrows
26,989,880
Factor Arrows
23,494,940
Factor Arrows
21,747,470
Factor Arrows
2873,735
Factor Arrows
3291,245
Factor Arrows
558,249
Factor Arrows
311,879

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, 31, 1879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 x 1,879 = 111,838,080

This can also be written as 27 x 31 x 51 x 311 x 1,8791 = 111,838,080

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


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