Q: What are the prime factors of the number 108,255,040?

 A: 2, 5, 338297

Why are those the prime factors of the number 108,255,040?

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 108,255,040

108,255,040
Factor Arrows
254,127,520
Factor Arrows
227,063,760
Factor Arrows
213,531,880
Factor Arrows
26,765,940
Factor Arrows
23,382,970
Factor Arrows
21,691,485
Factor Arrows
5338,297

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, 338297

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 5 x 338,297 = 108,255,040

This can also be written as 26 x 51 x 338,2971 = 108,255,040

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


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