Q: What are the prime factors of the number 267,175,160?

 A: 2, 5, 7, 409, 2333

Why are those the prime factors of the number 267,175,160?

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 267,175,160

267,175,160
Factor Arrows
2133,587,580
Factor Arrows
266,793,790
Factor Arrows
233,396,895
Factor Arrows
56,679,379
Factor Arrows
7954,197
Factor Arrows
4092,333

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, 5, 7, 409, 2333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 409 x 2,333 = 267,175,160

This can also be written as 23 x 51 x 71 x 4091 x 2,3331 = 267,175,160

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


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