Multiples

Multiples of a number is discussed here.


What are multiples?

‘The product obtained on multiplying two or more whole numbers is called a multiple of that number or the numbers being multiplied.’

We know about the whole numbers: ‘the numbers starting from 0 and having the pattern 0, 1, 2, 3, 4, 5, up to infinity, are called whole numbers

The whole numbers minus 0 are the natural numbers.

All the natural numbers are multiples of 1.

There is no end to multiples of any number. The first ten multiples of the numbers starting from 1 to 10 are given here.


First Ten Multiples of the Numbers

What are Multiples?

In the above table we can observe the first ten multiples of the numbers starting from 1 to 10.

A multiple is the product of a number and any other number.


Understanding Multiples

1. The first multiple of a number is the number itself.

2. Every number is a multiple of 1.

3. 0 is a multiple of every number.

4. Multiples of a number are infinite (you can carry on writing them).


Multiples are really the products of the tables that you learn. 

Sometimes, you learn the multiples till the 10th place or the 12th place of every number table but multiples are really infinite. 

Take a look at the multiples of different numbers:

Multiples of different Numbers

We know that when two numbers are multiplied the result is called the product or the multiple of given numbers. For example, if we multiply 4 and 5 the result 20 is a multiple of 4 ad 5.

Le us find the first 10 multiples of 2, 3 and 4. We multiply the numbers by the counting numbers 1, 2, 3, 4, …. to get the multiples.

First Ten Multiples of 2, 3 and 4.

The first 10 multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20

The first 10 multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27 and 30

The first 10 multiples of 2 are: 4, 8, 12, 16, 20, 24, 28, 32, 36 and 40

We can find as many multiples of a number as we like.


Common Multiple

Take a look at the multiples of 2, 3, 4, till the 10th place.

Multiples of 2 are in yellow; 3 are in orange; 4 are in light green. 

Common Multiple

When a number is multiple of 2 or more numbers it is called a common multiple.

Common multiples of 2 and 3 are 6, 12, 18 till the 10th place.

Common multiple of 2, 3 and 4 till the 10th place is → 12. 


1. Find the first three multiples of 5.

Solution:

We will multiply 5 by 1, 2 and 3.

5 × 1 = 5

5 × 2 = 10

5 × 3 = 15

So, 5, 10, 15 are the first 3 multiples of 5.

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