Multiples


 
 
Concept Explanation
 

Multiples

Factors and multiples are different things. But they both involve multiplication: Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer (not a fraction).

We must multiply by an integer, but the number that is being multiplied can be anything.

Multiples: For getting multiples of a number, we recite the multiplication table of that number.

e.g. multiples of 4 are 4, 8, 12, 16, ...

Perfect number: A number for which the sum of all its factors is equal to twice the number is called a perfect number.

e.g. 28 is a perfect number as shown below

56 = 28 X 2 = 1 + 2 + 4 + 7 + 14 + 28

Note: 1. Every multiple of a number is greater than or equal to that number.

2. The number of multiples of a given number is infinite.

3. Every number is a multiple of itself.

4. A number is a multiple of each of its factors.

Illustration: Find the multiples of 12.

Solution:   ..., 12, 24, 48, 60, ...

Illustration: Find first five multiples of 6.

Solution:  The required multiples are

6 X 1 =6

6 X 2 = 12

6 X 3 = 18

6 X 4 = 24

6 X 5 = 30

Hence, the first five multiples of 8 are 6, 12, 18, 24, 30

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Bhushan counted to 60 using multiples of 6. Which statement is true about multiples of 6?

Right Option : C
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Question : 2

A class monitor helped his teacher to collect some money from 54 students for a picnic outing. The record of money collected was accidentally smeared with water and only 3 digits of the total cash amount,  square 461square ,  were legible. Determine the amount colloected by the monitor.

Right Option : B
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Explanation
Question : 3

Find the multiple of 5 which lies in between 17 and 23.

Right Option : B
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Explanation
 
 
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