Question 1
Using divisibility test, 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 1
Using divisibility test, 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)
Divisibility rule for 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 rule for 3: If the sum of the digits is a multiple of 3, then the number is divisible by 3.
Divisibility rule for 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 rule for 5: If the unit digit of a number is either 0 or 5, then the number is divisible by 5.
Divisibility rule for 6: If a number is divisible by 2 and 3 both then it is divisible by 6 also.
Divisibility rule for 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 rule for 9: If the sum of the digits of a number is divisible by 9, then the number itself is divisible by 9.
Divisibility rule for 10: If the unit digit of a number is 0, then the number is divisible by 10.
Divisibility rule for 11: Find 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. If the difference is either 0 or divisible by 11, then the number is divisible by 11.
Applying above divisibility rule on given numbers, we get the table as below:
Divisibility rule for 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 rule for 3: If the sum of the digits is a multiple of 3, then the number is divisible by 3.
Divisibility rule for 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 rule for 5: If the unit digit of a number is either 0 or 5, then the number is divisible by 5.
Divisibility rule for 6: If a number is divisible by 2 and 3 both then it is divisible by 6 also.
Divisibility rule for 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 rule for 9: If the sum of the digits of a number is divisible by 9, then the number itself is divisible by 9.
Divisibility rule for 10: If the unit digit of a number is 0, then the number is divisible by 10.
Divisibility rule for 11: Find 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. If the difference is either 0 or divisible by 11, then the number is divisible by 11.
Applying above divisibility rule on given numbers, we get the table as below:
