List all the factors of $$85. Write them all on the one line separated by a comma.
Question
List all the factors of 85. Write them all on the one line separated by a comma.
Solution
To find the factors of , we need to identify all the integers that divide without leaving a remainder.
Break Down the Problem
- Determine the prime factorization of .
- List all combinations of these factors to find all divisors.
Relevant Concepts
The prime factorization of a number is the expression of that number as the product of its prime factors.
Analysis and Detail
-
Prime Factorization:
- can be factored into and , both of which are prime numbers.
- Thus, the prime factorization of is .
-
Finding Factors:
- The factors can be obtained by taking combinations of to the maximum power of each prime factor:
- (the multiplicative identity),
- ,
- ,
- (the product of and ).
- The factors can be obtained by taking combinations of to the maximum power of each prime factor:
Verify and Summarize
The full list of factors of is . Each of these numbers divides without remainder.
Final Answer
The factors of are .
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