Q: What are the prime factors of the number 273,276?

 A: 2, 3, 7591

Why are those the prime factors of the number 273,276?

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 273,276

273,276
Factor Arrows
2136,638
Factor Arrows
268,319
Factor Arrows
322,773
Factor Arrows
37,591

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, 3, 7591

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7,591 = 273,276

This can also be written as 22 x 32 x 7,5911 = 273,276

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


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