Q: What are the prime factors of the number 110,735,080?

 A: 2, 5, 37, 74821

Why are those the prime factors of the number 110,735,080?

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 110,735,080

110,735,080
Factor Arrows
255,367,540
Factor Arrows
227,683,770
Factor Arrows
213,841,885
Factor Arrows
52,768,377
Factor Arrows
3774,821

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, 37, 74821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 37 x 74,821 = 110,735,080

This can also be written as 23 x 51 x 371 x 74,8211 = 110,735,080

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


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