Q: What are the prime factors of the number 116,323,776?

 A: 2, 3, 19, 1181

Why are those the prime factors of the number 116,323,776?

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 116,323,776

116,323,776
Factor Arrows
258,161,888
Factor Arrows
229,080,944
Factor Arrows
214,540,472
Factor Arrows
27,270,236
Factor Arrows
23,635,118
Factor Arrows
21,817,559
Factor Arrows
3605,853
Factor Arrows
3201,951
Factor Arrows
367,317
Factor Arrows
322,439
Factor Arrows
191,181

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, 19, 1181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 19 x 1,181 = 116,323,776

This can also be written as 26 x 34 x 191 x 1,1811 = 116,323,776

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


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