Q: What are the prime factors of the number 110,251,632?

 A: 2, 3, 2296909

Why are those the prime factors of the number 110,251,632?

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 110,251,632

110,251,632
Factor Arrows
255,125,816
Factor Arrows
227,562,908
Factor Arrows
213,781,454
Factor Arrows
26,890,727
Factor Arrows
32,296,909

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, 2296909

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 2,296,909 = 110,251,632

This can also be written as 24 x 31 x 2,296,9091 = 110,251,632

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


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