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

You are watching: A number is divisible by 3 if the sum of the digits of the number is divisible by 3

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

(i) 54

Sum of all the number of 54 = 5 + 4 = 9, i m sorry is divisible through 3.

Hence, 54 is divisible by 3.

 

(ii) 73

Sum of every the number of 73 = 7 + 3 = 10, i beg your pardon is not divisible by 3.

Hence, 73 is no divisible by 3.


(iii) 137

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

Hence, 137 is no divisible by 3.

 

(iv) 231

Sum of every the number of 231 = 2 + 3 + 1 = 6, which isdivisible by 3.

Hence, 231 is divisible through 3.

 

(v) 194

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

Hence, 194 is no 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 every the digits of 171 = 1 + 7 + 1 = 9, which isdivisible through 3.

Hence, 171 is divisible through 3.

 

(viii) 277

Sum of all the number of 277 = 2 + 7 + 7 = 16, i beg your pardon is notdivisible by 3.

Hence, 277 is no divisible through 3.

 

(ix) 276

Sum of all the number of 276 = 2 + 7 + 6 = 15, i beg your pardon isdivisible by 3.

Hence, 276 is divisible by 3.

 

(x) 179

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

Hence, 179 is not divisible through 3.


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● Fill the correct lowest feasible digit in the blank an are to make the number divisible through 3.

(i) 16335_

(ii) 20_984

(iii) 8422_1

(iv) 749_261

(v) 999_32

(vi) 1_7073

Answer: (i) 3

(ii) 4

(iii) 1

(iv) 1

(v) 1

(vi) 3

● Divisibility Rules.

Properties of Divisibility.

Divisible by 2.

Divisible through 3.

Divisible by 4.

Divisible through 5.

Divisible through 6.

Divisible by 7.

Divisible by 8.

Divisible by 9.

Divisible by 10.

Divisible through 11.

Problems top top Divisibility Rules

Worksheet on Divisibility Rules

5th Grade mathematics Problems From Divisible through 3 to residence PAGE


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