Divisibility rules for numbers

Question 1

Divisibility rule by 2

Answer 1

A number is divisible by 2 if its last digit is 0 or even

Question 2

Divisibility rule by 3

Answer 2

A number is divisible by 3 if the sum of the digits of the number is divisible by 3

Question 3

Divisibility rule by 4

Answer 3

A number is divisible by if the number formed by its last 2 digits is divisible by 4

Question 4

Divisibility rule for 5

Answer 4

A number is divisible by 5 if it’s last digit is 0 or 5

Question 5

Divisibility rule for 6

Answer 5

A number is divisible by 6 if it is divisible by both 2 and 3.

Question 6

Divisibility rule for 7

Answer 6

If the difference of twice of last digits of a number and the number formed by its remaining digits is either 0 or multiple of 7

Question 7

Divisibility rule for 8

Answer 7

A number is divisible by 8 if the number formed by its last three digits is divisible by 8

Question 8

Divisibility rule for 9

Answer 8

A number is divisible by 9 if the sum of all its digits is divisible by 9

Question 9

Divisibility rule for 10

Answer 9

A number is divisible 10 if its last digit

Question 10

Divisibility rule of 11

Answer 10

If the difference between the sum of digits of a number at odd place and the sum of digits of that number at even place is either 0 or a multiple of 11, then that number is divisible by 11

Question 11

For divisibility of other composite numbers

Answer 11

Any number is divisible by a composite number(N) where [N = m × p] if it is divisible by m and p. There is a condition that m and p must be co-prime(they must not share any common multiple other than 1)

Question 12

Divisibility rule for 12

Answer 12

A number is divisible by 12 if it is divisible by both 3 and 4.