Q: What are the prime factors of the number 267,272?

 A: 2, 33409

Why are those the prime factors of the number 267,272?

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 267,272

267,272
Factor Arrows
2133,636
Factor Arrows
266,818
Factor Arrows
233,409

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, 33409

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 33,409 = 267,272

This can also be written as 23 x 33,4091 = 267,272

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


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