Q: What are the prime factors of the number 216,013,336?

 A: 2, 7, 11, 173, 2027

Why are those the prime factors of the number 216,013,336?

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 216,013,336

216,013,336
Factor Arrows
2108,006,668
Factor Arrows
254,003,334
Factor Arrows
227,001,667
Factor Arrows
73,857,381
Factor Arrows
11350,671
Factor Arrows
1732,027

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, 7, 11, 173, 2027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 11 x 173 x 2,027 = 216,013,336

This can also be written as 23 x 71 x 111 x 1731 x 2,0271 = 216,013,336

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


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