Q: What are the prime factors of the number 110,777,744?

 A: 2, 7, 11, 89917

Why are those the prime factors of the number 110,777,744?

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 110,777,744

110,777,744
Factor Arrows
255,388,872
Factor Arrows
227,694,436
Factor Arrows
213,847,218
Factor Arrows
26,923,609
Factor Arrows
7989,087
Factor Arrows
1189,917

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, 7, 11, 89917

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 11 x 89,917 = 110,777,744

This can also be written as 24 x 71 x 111 x 89,9171 = 110,777,744

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


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