Q: What are the prime factors of the number 267,504,524?

 A: 2, 7, 37, 36887

Why are those the prime factors of the number 267,504,524?

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 267,504,524

267,504,524
Factor Arrows
2133,752,262
Factor Arrows
266,876,131
Factor Arrows
79,553,733
Factor Arrows
71,364,819
Factor Arrows
3736,887

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, 7, 37, 36887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 37 x 36,887 = 267,504,524

This can also be written as 22 x 72 x 371 x 36,8871 = 267,504,524

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


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