Q: What are the prime factors of the number 116,834,080?

 A: 2, 5, 11, 66383

Why are those the prime factors of the number 116,834,080?

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 116,834,080

116,834,080
Factor Arrows
258,417,040
Factor Arrows
229,208,520
Factor Arrows
214,604,260
Factor Arrows
27,302,130
Factor Arrows
23,651,065
Factor Arrows
5730,213
Factor Arrows
1166,383

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, 11, 66383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 11 x 66,383 = 116,834,080

This can also be written as 25 x 51 x 111 x 66,3831 = 116,834,080

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


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