Q: What are the prime factors of the number 116,265,470?

 A: 2, 5, 37, 151, 2081

Why are those the prime factors of the number 116,265,470?

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 116,265,470

116,265,470
Factor Arrows
258,132,735
Factor Arrows
511,626,547
Factor Arrows
37314,231
Factor Arrows
1512,081

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, 37, 151, 2081

We can check our work by multiplying all of the prime factors together: 2 x 5 x 37 x 151 x 2,081 = 116,265,470

This can also be written as 21 x 51 x 371 x 1511 x 2,0811 = 116,265,470

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


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