Q: What are the prime factors of the number 116,150,160?

 A: 2, 3, 5, 7, 47, 1471

Why are those the prime factors of the number 116,150,160?

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 116,150,160

116,150,160
Factor Arrows
258,075,080
Factor Arrows
229,037,540
Factor Arrows
214,518,770
Factor Arrows
27,259,385
Factor Arrows
32,419,795
Factor Arrows
5483,959
Factor Arrows
769,137
Factor Arrows
471,471

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, 7, 47, 1471

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 7 x 47 x 1,471 = 116,150,160

This can also be written as 24 x 31 x 51 x 71 x 471 x 1,4711 = 116,150,160

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


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