Q: What are the prime factors of the number 216,002,016?

 A: 2, 3, 23, 32609

Why are those the prime factors of the number 216,002,016?

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 216,002,016

216,002,016
Factor Arrows
2108,001,008
Factor Arrows
254,000,504
Factor Arrows
227,000,252
Factor Arrows
213,500,126
Factor Arrows
26,750,063
Factor Arrows
32,250,021
Factor Arrows
3750,007
Factor Arrows
2332,609

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, 23, 32609

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23 x 32,609 = 216,002,016

This can also be written as 25 x 32 x 231 x 32,6091 = 216,002,016

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


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