Q: What are the prime factors of the number 116,182,332?

 A: 2, 3, 7, 97

Why are those the prime factors of the number 116,182,332?

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 116,182,332

116,182,332
Factor Arrows
258,091,166
Factor Arrows
229,045,583
Factor Arrows
39,681,861
Factor Arrows
33,227,287
Factor Arrows
7461,041
Factor Arrows
765,863
Factor Arrows
79,409
Factor Arrows
9797

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, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 7 x 7 x 97 x 97 = 116,182,332

This can also be written as 22 x 32 x 73 x 972 = 116,182,332

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


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