Divisors
A number-theoretic property
About Divisors
The positive divisors of an integer n are all positive integers that divide n without remainder. Every number has at least 1 and itself as divisors. Primes have exactly two divisors; composite numbers have more. On NumDic you can look up any number to see its full list of divisors.
Key features
- Divisors always come in pairs (d, n/d) when d ≤ √n.
- Number of divisors can be computed from the exponents in the prime factorization.
- Proper divisors exclude the number itself; they are used for perfect, abundant, and deficient classifications.
Examples: