Q: What are the prime factors of the number 116,730,342?

 A: 2, 3, 389, 5557

Why are those the prime factors of the number 116,730,342?

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 116,730,342

116,730,342
Factor Arrows
258,365,171
Factor Arrows
319,455,057
Factor Arrows
36,485,019
Factor Arrows
32,161,673
Factor Arrows
3895,557

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, 389, 5557

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 389 x 5,557 = 116,730,342

This can also be written as 21 x 33 x 3891 x 5,5571 = 116,730,342

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


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