The document discusses divisibility rules for numbers being divisible by 2, 3, 4, and 5. It provides examples for each rule, explaining that a number is divisible by 2 if the last digit is even, divisible by 3 if the sum of its digits is a multiple of 3, divisible by 4 if the last two digits are divisible by 4, and divisible by 5 if the last digit is 0 or 5. The rules are introduced by Prof. Rajanikant Soni and include illustrative examples for each rule.

1. Divisibility rules
Prepared By
Prof. Rajanikant Soni
M. Tech Electronics

2. Divisibility rules:
Divisible by 2:
A number is divisible by 2, if the last digit is an even number.
Examples:
(a) Consider 1678
The last digit is 8, which is an even number. So, the number is
divisible by 2.
(b) Consider 279
The last digit is 9, which is not an even number. So, the number
is not divisible by 2.

3. Divisibility rules(continued):
Divisible by 3:
A number is divisible by 3, if the sum of its individual digits is a
multiple of 3.
Examples:
(a) Consider 117
The sum of its individual digits is 1 + 1 + 7 = 9, which is a
multiple of 3. So, the number is divisible by 3.
(b) Consider 218
The sum of its individual digits is 2 + 1 + 8 = 11, which is
not a multiple of 3. So, the number is not divisible by 3.

4. Divisibility rules(continued):
Divisible by 4:
A number is divisible by 4, if the last two digits are divisible by
4.
Examples:
(a) Consider 46728
The last two digits, i.e. 28, are divisible by 4. So, the number is
divisible by 4.
(b) Consider 65737
The last two digits, i.e. 37, are not divisible by 4. So, the
number is not divisible by 4.

5. Divisibility rules(continued):
Divisible by 5:
A number is divisible by 5 if the last digit is either 0 or 5.
Examples:
(a) Consider 20505
The last digit is 5. So, the number is divisible by 5.
(b) Consider 263
The last digit is 3. So, the number is not divisible by 5.

6. Thank You