Q: What are the prime factors of the number 116,531,010?

 A: 2, 3, 5, 191, 6779

Why are those the prime factors of the number 116,531,010?

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 116,531,010

116,531,010
Factor Arrows
258,265,505
Factor Arrows
319,421,835
Factor Arrows
36,473,945
Factor Arrows
51,294,789
Factor Arrows
1916,779

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, 5, 191, 6779

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 191 x 6,779 = 116,531,010

This can also be written as 21 x 32 x 51 x 1911 x 6,7791 = 116,531,010

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


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