Q: What are the prime factors of the number 116,090,150?

 A: 2, 5, 11, 211073

Why are those the prime factors of the number 116,090,150?

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 116,090,150

116,090,150
Factor Arrows
258,045,075
Factor Arrows
511,609,015
Factor Arrows
52,321,803
Factor Arrows
11211,073

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, 5, 11, 211073

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 11 x 211,073 = 116,090,150

This can also be written as 21 x 52 x 111 x 211,0731 = 116,090,150

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


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