Multiples of a number are what you get when you multiply it by 1, 2, 3, and so on. Multiples of 5 are 5, 10, 15, 20, 25... Every number has infinitely many multiples. Zero is a multiple of every number.

Multiples are used to find common denominators, least common multiples, and patterns in divisibility. A number is divisible by 3 if the sum of its digits is a multiple of 3. Multiples also appear in sequences and in modular arithmetic.

The concept is basic but connects to deeper ideas. In number theory, multiples and divisors are two sides of the same relationship. In algebra, multiples of polynomials behave similarly. Understanding multiples helps with fractions, factoring, and arithmetic fluency.

• Product of a number and an integer
• Infinitely many for any nonzero number
• Used in divisibility rules and common denominators
• Related to divisors and factors