Q: What are the prime factors of the number 82,551,150?

 A: 2, 3, 5, 11, 17, 109

Why are those the prime factors of the number 82,551,150?

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 82,551,150

82,551,150
Factor Arrows
241,275,575
Factor Arrows
313,758,525
Factor Arrows
34,586,175
Factor Arrows
31,528,725
Factor Arrows
3509,575
Factor Arrows
5101,915
Factor Arrows
520,383
Factor Arrows
111,853
Factor Arrows
17109

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, 11, 17, 109

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 5 x 11 x 17 x 109 = 82,551,150

This can also be written as 21 x 34 x 52 x 111 x 171 x 1091 = 82,551,150

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


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