Factors & Multiples Calculator
Find all factors and multiples of any number instantly. Perfect for mathematics, number theory problems, and understanding divisibility.
All-in-One Number Calculator
How to Use This Calculator
Enter any positive integer and the calculator will instantly display all its factors and multiples. Factors are numbers that divide evenly into your number, while multiples are numbers that can be divided by your number.
Understanding Factors
Factors are whole numbers that divide evenly into another number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. Every number has at least two factors: 1 and itself.
Understanding Multiples
Multiples are the result of multiplying a number by integers. For example, the first few multiples of 5 are 5, 10, 15, 20, 25, etc. Unlike factors which are limited, multiples continue infinitely.
Common Applications
Factors and multiples are essential in simplifying fractions, finding common denominators, solving divisibility problems, prime factorization, and understanding number properties in algebra and number theory.
Prime and Composite Numbers
Prime numbers have exactly two factors (1 and themselves), while composite numbers have more than two factors. Understanding factors helps identify whether a number is prime or composite.
Frequently Asked Questions
Q: What’s the difference between factors and multiples? A: Factors divide into a number; multiples are created by multiplying. Q: How many factors can a number have? A: It varies – prime numbers have 2, others have more. Q: Are multiples infinite? A: Yes, unlike factors which are finite.