How Can You Tell if a Number Is Divisible by 3?

Divisible by 3

A number is divisible by 3, if the sum of its all digits is a multiple of iii or divisibility past three.

Consider the following numbers to find whether the numbers are divisible or non divisible past 3:

(i) 54

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

Hence, 54 is divisible by 3.

(two) 73

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

Hence, 73 is not divisible by iii.

(iii) 137

Sum of all the digits of 137 = 1 + 3 + 7 = eleven, which is not divisible past iii.

Hence, 137 is not divisible past 3.

(iv) 231

Sum of all the digits of 231 = two + 3 + i = 6, which is divisible by 3.

Hence, 231 is divisible by 3.

(five) 194

Sum of all the digits of 194 = 1 + 9 + 4 = fourteen, which is not divisible by iii.

Hence, 194 is non divisible by 3.

(vi) 153

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

Hence, 54 is divisible by 3.

(vii) 171

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

Hence, 171 is divisible by three.

(viii) 277

Sum of all the digits of 277 = 2 + 7 + 7 = 16, which is not divisible by iii.

Hence, 277 is not divisible past 3.

(nine) 276

Sum of all the digits of 276 = 2 + 7 + six = 15, which is divisible by iii.

Hence, 276 is divisible by 3.

(10) 179

Sum of all the digits of 179 = one + vii + ix = 17, which is not divisible by 3.

Hence, 179 is non divisible by 3.

Divisible by 3

Fill the correct lowest possible digit in the blank infinite to make the number divisible past 3.

(i) 16335_

(ii) 20_984

(three) 8422_1

(iv) 749_261

(v) 999_32

(vi) 1_7073

Answer: (i) 3

(two) four

(3) one

(iv) 1

(5) 1

(half-dozen) three

Divisibility Rules.

Backdrop of Divisibility.

Divisible past 2.

Divisible past 3.

Divisible by iv.

Divisible by 5.

Divisible by six.

Divisible by 7.

Divisible by eight.

Divisible by 9.

Divisible by 10.

Divisible by 11.

Problems on Divisibility Rules

Worksheet on Divisibility Rules


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