A number is divisible by 3, if the sum of its all digits isa multiple of 3 or divisibility by 3.

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Consider the following numbers to find whether the numbers are divisible or not divisible by 3:

(i) 54

Sum of all the digits of 54 = 5 + 4 = 9, which is divisible by 3.

Hence, 54 is divisible by 3.

(ii) 73

Sum of all the digits of 73 = 7 + 3 = 10, which is not divisible by 3.

Hence, 73 is not divisible by 3.

(iii) 137

Sum of all the digits of 137 = 1 + 3 + 7 = 11, which is notdivisible by 3.

Hence, 137 is not divisible by 3.

(iv) 231

Sum of all the digits of 231 = 2 + 3 + 1 = 6, which isdivisible by 3.

Hence, 231 is divisible by 3.

(v) 194

Sum of all the digits of 194 = 1 + 9 + 4 = 14, which is notdivisible by 3.

Hence, 194 is not divisible by 3.

(vi) 153

Sum of all the digits of 153 = 1 + 5 + 3 = 9, which isdivisible by 3.

Hence, 54 is divisible by 3.

(vii) 171

Sum of all the digits of 171 = 1 + 7 + 1 = 9, which isdivisible by 3.

Hence, 171 is divisible by 3.

(viii) 277

Sum of all the digits of 277 = 2 + 7 + 7 = 16, which is notdivisible by 3.

Hence, 277 is not divisible by 3.

(ix) 276

Sum of all the digits of 276 = 2 + 7 + 6 = 15, which isdivisible by 3.

Hence, 276 is divisible by 3.

(x) 179

Sum of all the digits of 179 = 1 + 7 + 9 = 17, which is notdivisible by 3.

Hence, 179 is not divisible by 3. ● Fill the correct lowest possible digit in the blank space to make the number divisible by 3.

(i) 16335_

(ii) 20_984

(iii) 8422_1

(iv) 749_261

(v) 999_32

(vi) 1_7073

(ii) 4

(iii) 1

(iv) 1

(v) 1

(vi) 3

● Divisibility Rules.

Properties of Divisibility.

Divisible by 2.

Divisible by 3.

Divisible by 4.

Divisible by 5.

Divisible by 6.

Divisible by 7.

Divisible by 8.

Divisible by 9.

Divisible by 10.

Divisible by 11.

Problems on Divisibility Rules

Worksheet on Divisibility Rules