Solved Examples on Multiples

Example 1: List the first five multiples of 15.

Solution:

To find the first five multiples of 15, multiply 15 by the first five natural integers.

15 × 1 = 15

15 × 2 = 30

15 × 3 = 45

15 × 4 = 60

15 × 5 = 75

∴ The first five multiples of 15 include 15, 30, 45, 60 and 75.

Example 2: Make a list of all the factors and multiples of 10.

Solution:

The factors of 10 are 1, 2, 5 and 10.

The multiples of 10 include 10, 20, 30, 40, 50, 60 and so on.

Example 3: Find the common multiples of 5 and 15?

Solution:

Multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, . . . . . . .

Multiple of 15 are: 15, 30, 45, 60, 75, 90, 105, . . . . . . .

Common multiples of 5 and 15 are: 15, 45, . . . . . . .

Example 4: Write all the multiples of 15 between 1 and 100?

Solution:

Multiples of 15 between 1 and 100 are: 15, 30, 45, 60, 75 and 90.

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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