Q: What are the prime factors of the number 110,511,346?

 A: 2, 11, 83, 60521

Why are those the prime factors of the number 110,511,346?

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 110,511,346

110,511,346
Factor Arrows
255,255,673
Factor Arrows
115,023,243
Factor Arrows
8360,521

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, 11, 83, 60521

We can check our work by multiplying all of the prime factors together: 2 x 11 x 83 x 60,521 = 110,511,346

This can also be written as 21 x 111 x 831 x 60,5211 = 110,511,346

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


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