Q: What are the prime factors of the number 252,206,016?

 A: 2, 3, 17, 77269

Why are those the prime factors of the number 252,206,016?

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 252,206,016

252,206,016
Factor Arrows
2126,103,008
Factor Arrows
263,051,504
Factor Arrows
231,525,752
Factor Arrows
215,762,876
Factor Arrows
27,881,438
Factor Arrows
23,940,719
Factor Arrows
31,313,573
Factor Arrows
1777,269

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, 17, 77269

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 17 x 77,269 = 252,206,016

This can also be written as 26 x 31 x 171 x 77,2691 = 252,206,016

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


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