Difference between revisions of "Proper divisor"
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| − | A '''proper divisor''' of a [[positive integer]] <math>n</math> is any [[divisor]] of <math>n</math> other than <math>n</math> itself. Thus, [[prime number]]s have exactly one proper divisor | + | A '''proper divisor''' of a [[positive integer]] <math>n</math> is any [[divisor]] of <math>n</math> other than <math>n</math> itself. Thus <math>1</math> has no proper divisors, [[prime number]]s have exactly one proper divisor <math>1</math>, and all other positive integers have at least two proper divisors. |
== See Also == | == See Also == | ||
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*[[Abundant number]] | *[[Abundant number]] | ||
*[[Perfect number]] | *[[Perfect number]] | ||
| + | *[[2017 USAJMO Problems/Problem 4]] | ||
{{stub}} | {{stub}} | ||
Latest revision as of 15:27, 10 May 2021
A proper divisor of a positive integer 
is any divisor of other than itself. Thus 
has no proper divisors, prime numbers have exactly one proper divisor , and all other positive integers have at least two proper divisors.
See Also
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