Q: What are the prime factors of the number 166,016,064?

 A: 2, 3, 107, 8081

Why are those the prime factors of the number 166,016,064?

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 166,016,064

166,016,064
Factor Arrows
283,008,032
Factor Arrows
241,504,016
Factor Arrows
220,752,008
Factor Arrows
210,376,004
Factor Arrows
25,188,002
Factor Arrows
22,594,001
Factor Arrows
3864,667
Factor Arrows
1078,081

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, 3, 107, 8081

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 107 x 8,081 = 166,016,064

This can also be written as 26 x 31 x 1071 x 8,0811 = 166,016,064

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


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