Q: What are the prime factors of the number 116,975,928?

 A: 2, 3, 4873997

Why are those the prime factors of the number 116,975,928?

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 116,975,928

116,975,928
Factor Arrows
258,487,964
Factor Arrows
229,243,982
Factor Arrows
214,621,991
Factor Arrows
34,873,997

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, 4873997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 4,873,997 = 116,975,928

This can also be written as 23 x 31 x 4,873,9971 = 116,975,928

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


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