Q: What are the prime factors of the number 267,200,865?

 A: 3, 5, 37, 160481

Why are those the prime factors of the number 267,200,865?

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 267,200,865

267,200,865
Factor Arrows
389,066,955
Factor Arrows
329,688,985
Factor Arrows
55,937,797
Factor Arrows
37160,481

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:

3, 5, 37, 160481

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 37 x 160,481 = 267,200,865

This can also be written as 32 x 51 x 371 x 160,4811 = 267,200,865

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


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