Find all divisors, prime factors, and properties of any integer.
Integer to Analyze
Analysis Result
ClassificationComposite
Perfect NumberNo
Factor Analysis
12
Total Divisors
Sum of Divisors168
Prime Factorization2^2 × 3 × 5
Divisors List
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
About this calculator
What are Divisors?
A divisor of an integer n is an integer that can be multiplied by some integer to produce n. In simpler terms, it's a number that divides into n without leaving a remainder. Analyzing divisors is key to understanding prime numbers and number theory.
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Pro Tips
Every number greater than 1 has at least two divisors: 1 and itself.
If a number has only two divisors, it is a prime number.
A perfect number is equal to the sum of its proper divisors (e.g., 6 = 1 + 2 + 3).
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Fun Facts
"The number 1 is the only integer with exactly one divisor."
"Amicable numbers are two different numbers where the sum of proper divisors of each is equal to the other number."
"The most common way to find divisors is to test all integers up to the square root of n."