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SAI International School
CLASS-VI

Mathematics
CHAPTER-3: Playing With Numbers
LESSON NOTES-3

SUBTOPIC: Divisibility Rules

Divisibility by 2: If the number ends with 2, 4, 6, 8 or 0, it is divisible by 2.
Ex: 28, 54, 96
Divisibility by 3: If the sum of the digits is a multiple of 3, then the number is
divisible by 3.
Ex- 219 ,Sum of the digits of the number is 2 + 1 + 9 = 12; 12 ÷ 3 = 4.
Therefore, 219 is divisible by 3.

Divisibility by 4: If the last 2 digits of any number are divisible by 4, then that
number is divisible by 4.
Ex: 1936; Last 2 digits are 36 and 36 ÷ 4 = 9.
Therefore, 1936 is divisible by 4.

Divisibility by 5:If the digit in the ones place of a number is 5 or 0, then it is
divisible by 5.
Ex: 6205 ends in 5.Therefore, 6205 is divisible by 5.

Divisibility by 6: If a number is divisible by 2 and 3, then that number is divisible
by 6.
Ex: 246. It is divisible by 2 as it ends with 6. Now, 2 + 4 + 6 = 12. 12 is
divisible by 3, so 246 is divisible by 3 also.
This shows that 246 is divisible by 2 and 3. Therefore, 246 is divisible by 6.

Divisibility by 8: A number is divisible by 8 if the number formed by its last three
digits is divisible by 8.
Ex: 10216, Last 3 digits are 216. 216 ÷ 8 = 27.
Therefore, 10216 is divisible by 8.

Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
Ex: 5283. 5 + 2 + 8 + 3 = 18 is divisible by 9.
Therefore 5283 is divisible by 9.

Divisibility by 10: A number is divisible by 10 if it ends with a ZERO.
Ex: 7010. Here the last digit is 0.
Therefore, 7010 is divisible by 10.

Divisibility by 11: A number is divisible by 11 if the difference of the sums of the
alternate digits is 0 or a multiple of 11.Ex: 61809