Q: What are the prime factors of the number 236,254,016?

 A: 2, 3691469

Why are those the prime factors of the number 236,254,016?

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 236,254,016

236,254,016
Factor Arrows
2118,127,008
Factor Arrows
259,063,504
Factor Arrows
229,531,752
Factor Arrows
214,765,876
Factor Arrows
27,382,938
Factor Arrows
23,691,469

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, 3691469

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 3,691,469 = 236,254,016

This can also be written as 26 x 3,691,4691 = 236,254,016

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


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