Q: What are the prime factors of the number 116,910?

 A: 2, 3, 5, 433

Why are those the prime factors of the number 116,910?

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 116,910

116,910
Factor Arrows
258,455
Factor Arrows
319,485
Factor Arrows
36,495
Factor Arrows
32,165
Factor Arrows
5433

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, 433

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 433 = 116,910

This can also be written as 21 x 33 x 51 x 4331 = 116,910

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


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