Q: What are the prime factors of the number 116,663,760?

 A: 2, 3, 5, 54011

Why are those the prime factors of the number 116,663,760?

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 116,663,760

116,663,760
Factor Arrows
258,331,880
Factor Arrows
229,165,940
Factor Arrows
214,582,970
Factor Arrows
27,291,485
Factor Arrows
32,430,495
Factor Arrows
3810,165
Factor Arrows
3270,055
Factor Arrows
554,011

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, 54011

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 54,011 = 116,663,760

This can also be written as 24 x 33 x 51 x 54,0111 = 116,663,760

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


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