# multiples | 5th class maths exercise 5 | 5 fifth class maths

Understanding multipless is important in various mathematical concepts, especially in topics like arithmetic, number theory, and algebra. They are also used in solving problems related to time, distance, and other real-world scenarios.

In mathematics, multipless are the result of multiplying a given number by any whole number. In other words, a multiples of a number is formed when that number is multiplied by integers (positive or negative), including zero.

Example: Consider the number 4. The multipless of 4 are obtained by multiplying 4 by integers. So, the multipless of 4 include 4, 8, 12, 16, 20, and so on.

# Definition of multipless

Any number can be divided into 1, 2, 3, 4. , . the factors obtained by multiplying by is called multiples of that number.

Example :

multipless of 2 | multipless of 6 | multipless of 9 | ||

2 × 1 = 2 | 6 × 1 = 6 | 9 ×1 = 9 | ||

2 × 2 = 4 | 6 × 2 = 12 | 9 × 2 = 18 | ||

2 × 3 = 6 | 6 × 3 = 18 | 9 × 3 = 24 | ||

2 × 4 = 8 | 6 × 4 = 24 | 9 × 4 = 36 | ||

2 × 5 = 10 | 6 × 5 = 30 | 9 × 5 = 45 | ||

2 × 6 = 12 | 6 × 6 = 36 | 9 × 6 = 54 | ||

2 × 7 = 14 | 6 × 7 = 42 | 9 × 7 = 63 | ||

2 × 8 = 16 | 6 × 8 = 48 | 9 × 8 = 72 | ||

2 × 9 = 18 | 6 × 9 = 54 | 9 × 9 = 81 |

Note : Every number is exactly divided into all its multipless.

Key Terminology:

Multiplicand: The number that is being multiplied to generate multipless.

Multiplier: The whole numbers (including negative numbers and zero) by which the multiplicand is multiplied to produce multipless.

Notation: The concept of multipless is often denoted as follows: If aa is a number, then bb is a multiples of aa is usually written as b = a \times nb=a×n, where nn is an integer.

Example: If a = 3a=3, then 66 is a multiples of 33 because 6 = 3 \times 26=3×2.

First five multipless of the following numbers

multipless of 4 = 4, 8, 12, 16, 20

multipless of 7= 7, 14, 21, 28, 35

multipless of 13 = 13, 26, 39, 52, 65

In this chart, ▢ is to be marked on every multiples of 3 and ◯ is to be marked on every multiples of 4.

Solution :

Answer the questions based on the chart given above –

1. What is the smallest multipless of 3?

Answer :- The smallest multipless of 3 is 3.

2. What is the smallest multipless of 4?

Answer :- The smallest multipless of 4 is 4.

3. Write 3 numbers which are multipless of both 3 and 4?

Answer :- 12, 24 and 36 is the multipless of both 3 and 4.

4. Which number is the smallest common multipless of 3 and 4?

Answer :- The smallest common multipless of 3 and 4 is 12.

5. What is the greatest common multipless of 3 and 4?

Answer :- The greatest common multipless of 3 and 4 is 96.

6. What is the first common multipless of 3 and 4 after 100?

Answer :- The first common multipless of 3 and 4 after 100 is 108.

7. Write the smallest number on the chart that is a multiples of at least two numbers and write those numbers as well. that number is a multipless?

Answer :- Smallest number which is multipless of at least two numbers = 2

Those numbers are = 1 and 2

8. Which number will be the smallest multipless of 5 and 8?

Answer :- The smallest multiples of 5 and 8 is 40.

Other Examples of multipless

Write the first three common multipless of 5 and 2.

Solution :-

multipless of 5 is = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

multipless of 2 is = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32

so, the first three common multipless of 5 and 2 is 10, 20 and 30.