Divisible by 3
A number is divisible by 3, if the sum of its all digits is a multiple of 3 or divisibility by 3.
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 not divisible by 3.
Hence, 137 is not divisible by 3.
(iv) 231
Sum of all the digits of 231 = 2 + 3 + 1 = 6, which is divisible by 3.
Hence, 231 is divisible by 3.
(v) 194
Sum of all the digits of 194 = 1 + 9 + 4 = 14, which is not divisible by 3.
Hence, 194 is not divisible by 3.
(vi) 153
Sum of all the digits of 153 = 1 + 5 + 3 = 9, which is divisible by 3.
Hence, 54 is divisible by 3.
(vii) 171
Sum of all the digits of 171 = 1 + 7 + 1 = 9, which is divisible by 3.
Hence, 171 is divisible by 3.
(viii) 277
Sum of all the digits of 277 = 2 + 7 + 7 = 16, which is not divisible by 3.
Hence, 277 is not divisible by 3.
(ix) 276
Sum of all the digits of 276 = 2 + 7 + 6 = 15, which is divisible by 3.
Hence, 276 is divisible by 3.
(x) 179
Sum of all the digits of 179 = 1 + 7 + 9 = 17, which is not divisible 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
Answer: (i) 3
(ii) 4
(iii) 1
(iv) 1
(v) 1
(vi) 3
Problems on Divisibility Rules
Worksheet on Divisibility Rules
5th Grade Math Problems
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