Q: What are the prime factors of the number 116,601,056?

 A: 2, 11, 13, 83, 307

Why are those the prime factors of the number 116,601,056?

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 116,601,056

116,601,056
Factor Arrows
258,300,528
Factor Arrows
229,150,264
Factor Arrows
214,575,132
Factor Arrows
27,287,566
Factor Arrows
23,643,783
Factor Arrows
11331,253
Factor Arrows
1325,481
Factor Arrows
83307

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, 13, 83, 307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 13 x 83 x 307 = 116,601,056

This can also be written as 25 x 111 x 131 x 831 x 3071 = 116,601,056

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


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