Q: What are the prime factors of the number 166,663,750?

 A: 2, 5, 11, 17, 23, 31

Why are those the prime factors of the number 166,663,750?

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 166,663,750

166,663,750
Factor Arrows
283,331,875
Factor Arrows
516,666,375
Factor Arrows
53,333,275
Factor Arrows
5666,655
Factor Arrows
5133,331
Factor Arrows
1112,121
Factor Arrows
17713
Factor Arrows
2331

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, 17, 23, 31

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 5 x 11 x 17 x 23 x 31 = 166,663,750

This can also be written as 21 x 54 x 111 x 171 x 231 x 311 = 166,663,750

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


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