FACT & PROPERTIES OF MULTIPLES -
Understand the following:
6 x 1 = 6,
6 x 2 = 12,
6 x 3 = 18,
6 x 4 = 24,
6 x 5 = 30,
Here, 6, 12, 18, 24, 30 are all multiples of 6.
When we multiply two given numbers, their product is a multiple of each of the numbers. 6 x 5 = 30
∴ 30 is a multiple of 6. Also, 30 is a multiple of 5. Or, multiples means using the TABLES
Properties Of Multiple -
1. Every number is a multiple of 1.
1 x 15 = 15
Also, every number is a multiple of itself.
2. 0 is a multiple of every number.
25 x 0 = 0
3. Every multiple is either greater than or equal to the number.
Multiples of 12 are 12, 24, 36, 48, ……….. .
The smallest is 12 (the number itself) and the rest are greater than 12 (the number).
4. Multiples of number are infinite (endless)
Multiples of 20 are 20, 40, 60, 80, ……….. .
Example.1) Find the multiples of 12 which are greater than 40 but less than 100.
Ans.)
12 X 4 = 48
12 X 5 = 60
12 X 6 = 72
12 X 7 = 84
12 X 8 = 96
Ans: The multiples of 12 which are greater than 40 but less than 100 are 48, 60, 72, 84 and 96. (Ans.)
Example.2) Find the 5th
multiple of 12.
Ans.)
12 X 5 = 60
Ans: The fifth multiple of 12 is 60. (Ans.)
## Some other way of Understanding -