Properties of Multiples

Understanding the characteristics of multiples is essential in mathematics. Here are a few essential properties of multiples:

  • Every multiple of a number is equal to or greater than the original number. For example, multiples of three include 3, 6, 9, 12, and so on, all of which are equal to or larger than 3.
  • Number of multiples of any given integer are infinite. For example, the multiples of 4 are 4, 8, 12, 16, and so on, and the list could go on forever.
  • Each number is a multiple of itself. .
  • Every number is a multiple of 1, and 0 is a multiple of every integer.

Understanding these features allows us to deal with multiples more effectively and solve a variety of mathematical problems.

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Multiples

Multiples, in mathematics, are the numbers obtained by the product of the original number with another integer like 1, 2, 3, etc. Every number has infinite multiples. For example, 30 is a multiple of 5 as 5 × 6 = 30.

In this article, we will learn about multiples, list of some common multiples, method to find multiple of a number along with some solved examples.

Table of Content

  • What are Multiples?
  • Multiples of a Number
  • List of Multiples
  • How to Find Multiples of a Number?
  • Factors and Multiples
  • Common Multiples
  • Properties of Multiples

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What are Multiples?

Multiples are numbers obtained by multiplying one integer by another whole number. In simpler terms, a multiple of a number is the product of that number and an integer....

Multiples of a Number

Multiples of a number are a sequence of numbers formed by adding the same number repeatedly or multiplying it by various whole numbers. For example, the number 6 has multiples 6, 12, 18, etc. Each of these numbers is the result of multiplying 6 by 1, 2, 3, etc....

List of Multiples

Multiplying an integer with natural numbers yields its multiples. As there are infinitely many natural numbers, there are infinitely many multiples of any given integer. The list of multiples of a number is endless....

How to Find Multiples of a Number?

To find multiples of a number, we simply multiply the given number by another whole number. For example, if we have a number 3, its multiples are numbers like 3, 6, 9, 12, and so on, which are obtained by multiplying 3 by 1, 2, 3, 4, and so on....

Factors and Multiples

Factors and multiples are two closely connected topics in mathematics. The explanation of these terms are given below:...

Common Multiples

Common multiple are the multiples which are common in two or more numbers. In other words, common multiple are numbers that appear in a list of multiples for two or more distinct numbers....

Properties of Multiples

Understanding the characteristics of multiples is essential in mathematics. Here are a few essential properties of multiples:...

Solved Examples on Multiples

Example 1: List the first five multiples of 15....

Practice Questions on Multiples

Question 1: Write down the first 12 multiples of 24....

Multiples: FAQs

What are multiples?...