Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11 (say, yes or no):

Question – Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11 (say, yes or no):

Solution – 

Divisibility by 2: A number is divisible by 2 if it has any of the digits 0, 2, 4, 6 or 8 in its ones place.

Divisibility by 3: If the sum of the digits is a multiple of 3, then the number is divisible by 3.

Divisibility by 4: A number with 3 or more digits is divisible by 4 if the number formed by its last two digits (i.e. ones and tens) is divisible by 4.

Divisibility by 5: A number is divisible by 5 if it has 5 or 0 at its ones place.

Divisibility by 6: If a number is divisible by 2 and 3 both then it is divisible by 6 also.

Divisibility by 8: A number with 4 or more digits is divisible by 8, if the number formed by the last three digits is divisible by 8.

Divisibility by 9: If the sum of the digits of a number is divisible by 9, then the number itself is divisible by 9.

Divisibility by 10: A number is divisible by 10 if it has 0 at its ones place.

Divisibility by 11: If the difference between the sum of the digits at odd places (from the right) and the sum of the digits at even places (from the right) of the number is either 0 or divisible by 11, then the number is divisible by 11.

Related Question – 

• Using divisibility tests determine which of the following numbers are divisible by 4; by 8: