1. Check whether 13968 is divisible by 48 or not?Solution:Divisibility rule of 48 :
If number is divisible by 16 and 3, then number is also divisible by 48.
Divisibility rule of 16 :
The last four digit is divisible by 16, then number is also divisible by 16.
Last 4 digit of 13968 is 3968, which is divisible by 16.
`:.` 13968 is divisible by 16.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 13968 is `1+3+9+6+8=27`, which is divisible by 3.
`:.` 13968 is divisible by 3.
13968 is divisible by 16 and 3.
`:.` 13968 is divisible by 48.
2. Check whether 16080 is divisible by 48 or not?Solution:Divisibility rule of 48 :
If number is divisible by 16 and 3, then number is also divisible by 48.
Divisibility rule of 16 :
The last four digit is divisible by 16, then number is also divisible by 16.
Last 4 digit of 16080 is 6080, which is divisible by 16.
`:.` 16080 is divisible by 16.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 16080 is `1+6+0+8+0=15`, which is divisible by 3.
`:.` 16080 is divisible by 3.
16080 is divisible by 16 and 3.
`:.` 16080 is divisible by 48.
3. Check whether 18816 is divisible by 48 or not?Solution:Divisibility rule of 48 :
If number is divisible by 16 and 3, then number is also divisible by 48.
Divisibility rule of 16 :
The last four digit is divisible by 16, then number is also divisible by 16.
Last 4 digit of 18816 is 8816, which is divisible by 16.
`:.` 18816 is divisible by 16.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 18816 is `1+8+8+1+6=24`, which is divisible by 3.
`:.` 18816 is divisible by 3.
18816 is divisible by 16 and 3.
`:.` 18816 is divisible by 48.
4. Check whether 13336 is divisible by 48 or not?Solution:Divisibility rule of 48 :
If number is divisible by 16 and 3, then number is also divisible by 48.
Divisibility rule of 16 :
The last four digit is divisible by 16, then number is also divisible by 16.
Last 4 digit of 13336 is 3336, which is not divisible by 16.
`:.` 13336 is not divisible by 16.
Hence 13336 is also not divisible by 48.
5. Check whether 15189 is divisible by 48 or not?Solution:Divisibility rule of 48 :
If number is divisible by 16 and 3, then number is also divisible by 48.
Divisibility rule of 16 :
The last four digit is divisible by 16, then number is also divisible by 16.
Last 4 digit of 15189 is 5189, which is not divisible by 16.
`:.` 15189 is not divisible by 16.
Hence 15189 is also not divisible by 48.
6. Check whether 18691 is divisible by 48 or not?Solution:Divisibility rule of 48 :
If number is divisible by 16 and 3, then number is also divisible by 48.
Divisibility rule of 16 :
The last four digit is divisible by 16, then number is also divisible by 16.
Last 4 digit of 18691 is 8691, which is not divisible by 16.
`:.` 18691 is not divisible by 16.
Hence 18691 is also not divisible by 48.
This material is intended as a summary. Use your textbook for detail explanation.
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