Q: What are the prime factors of the number 116,435,718?

 A: 2, 3, 7, 102677

Why are those the prime factors of the number 116,435,718?

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 116,435,718

116,435,718
Factor Arrows
258,217,859
Factor Arrows
319,405,953
Factor Arrows
36,468,651
Factor Arrows
32,156,217
Factor Arrows
3718,739
Factor Arrows
7102,677

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, 7, 102677

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 102,677 = 116,435,718

This can also be written as 21 x 34 x 71 x 102,6771 = 116,435,718

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


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