Q: What are the prime factors of the number 273,848?

 A: 2, 34231

Why are those the prime factors of the number 273,848?

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 273,848

273,848
Factor Arrows
2136,924
Factor Arrows
268,462
Factor Arrows
234,231

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, 34231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 34,231 = 273,848

This can also be written as 23 x 34,2311 = 273,848

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


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