Q: What are the prime factors of the number 110,053,530?

 A: 2, 3, 5, 67, 18251

Why are those the prime factors of the number 110,053,530?

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 110,053,530

110,053,530
Factor Arrows
255,026,765
Factor Arrows
318,342,255
Factor Arrows
36,114,085
Factor Arrows
51,222,817
Factor Arrows
6718,251

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, 67, 18251

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 67 x 18,251 = 110,053,530

This can also be written as 21 x 32 x 51 x 671 x 18,2511 = 110,053,530

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


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