Q: What are the prime factors of the number 236,818,384?

 A: 2, 11, 1345559

Why are those the prime factors of the number 236,818,384?

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 236,818,384

236,818,384
Factor Arrows
2118,409,192
Factor Arrows
259,204,596
Factor Arrows
229,602,298
Factor Arrows
214,801,149
Factor Arrows
111,345,559

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, 11, 1345559

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 1,345,559 = 236,818,384

This can also be written as 24 x 111 x 1,345,5591 = 236,818,384

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


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