5763 is completely divisible by which of the given options:
5763 is completely divisible by which of the given options:
The correct option is A 3
A number is divisible by 3 if the sum of its digits is divisible by 3.
In 5763 sum of the digits is = 5+7+6+3=21, which is exactly divisible by 3.
So, 5763 is divisible by 3.
A number is divisible by 4 if its last two digits are divisible by 4. The last two digits in 5763 are 63 which is not divisible by 4.
Hence 5763 is not divisible by 4
5763 is not divisible by 6, as it is an odd number. To be divisible by 6, the number should be divisible by both 3 and 2. Only even numbers are divisible by 2.
A number is divisible by 9 if the sum of its digits is divisible by 9.
In 5763 sum of the digits is = 5+7+6+3=21, which is not divisible by 9.
So, 5763 is not divisible by 9.
Hence 5763 is divisible by 3.
A number is divisible by 3 if the sum of its digits is divisible by 3.
In 5763 sum of the digits is = 5+7+6+3=21, which is exactly divisible by 3.
So, 5763 is divisible by 3.
A number is divisible by 4 if its last two digits are divisible by 4. The last two digits in 5763 are 63 which is not divisible by 4.
Hence 5763 is not divisible by 4
5763 is not divisible by 6, as it is an odd number. To be divisible by 6, the number should be divisible by both 3 and 2. Only even numbers are divisible by 2.
A number is divisible by 9 if the sum of its digits is divisible by 9.
In 5763 sum of the digits is = 5+7+6+3=21, which is not divisible by 9.
So, 5763 is not divisible by 9.
Hence 5763 is divisible by 3.
