Q: What are the prime factors of the number 236,667,302?

 A: 2, 17, 241, 1699

Why are those the prime factors of the number 236,667,302?

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 236,667,302

236,667,302
Factor Arrows
2118,333,651
Factor Arrows
176,960,803
Factor Arrows
17409,459
Factor Arrows
2411,699

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, 17, 241, 1699

We can check our work by multiplying all of the prime factors together: 2 x 17 x 17 x 241 x 1,699 = 236,667,302

This can also be written as 21 x 172 x 2411 x 1,6991 = 236,667,302

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


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