A quantity is divisible by 3, if the sum of its all digits is
a a number of of three or divisibility by 3.
Contemplate the multiples of three: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ………
Quantity |
Sum of the Digits |
12 15 18 21 24 27 |
1 + 2 = 3 1 + 5 = 6 1 + 8 = 9 2 + 1 = 3 2 + 4 = 6 2 + 7 = 9 |
In every case the sum of the digits is divisible by 3.
A quantity is divisible by 3 if the sum of its digits is divisible by 3.
1. Allow us to contemplate the next numbers to seek out whether or not the numbers are divisible or not divisible by 3:
(i) 54
Sum of all of the digits of 54 = 5 + 4 = 9, which is divisible by 3.
Therefore, 54 is divisible by 3.
(ii) 73
Sum of all of the digits of 73 = 7 + 3 = 10, which isn’t divisible by 3.
Therefore, 73 isn’t divisible by 3.
(iii) 137
Sum of all of the digits of 137 = 1 + 3 + 7 = 11, which isn’t
divisible by 3.
Therefore, 137 isn’t divisible by 3.
(iv) 231
Sum of all of the digits of 231 = 2 + 3 + 1 = 6, which is
divisible by 3.
Therefore, 231 is divisible by 3.
(v) 194
Sum of all of the digits of 194 = 1 + 9 + 4 = 14, which isn’t
divisible by 3.
Therefore, 194 isn’t divisible by 3.
(vi) 153
Sum of all of the digits of 153 = 1 + 5 + 3 = 9, which is
divisible by 3.
Therefore, 54 is divisible by 3.
(vii) 171
Sum of all of the digits of 171 = 1 + 7 + 1 = 9, which is
divisible by 3.
Therefore, 171 is divisible by 3.
(viii) 277
Sum of all of the digits of 277 = 2 + 7 + 7 = 16, which isn’t
divisible by 3.
Therefore, 277 isn’t divisible by 3.
(ix) 276
Sum of all of the digits of 276 = 2 + 7 + 6 = 15, which is
divisible by 3.
Therefore, 276 is divisible by 3.
(x) 179
Sum of all of the digits of 179 = 1 + 7 + 9 = 17, which isn’t
divisible by 3.
Therefore, 179 isn’t divisible by 3.
2. Is 756 divisible by 3?
7 + 5 + 6 = 18 (18 is a a number of of three)
Therefore 756 is divisible by 3
We will confirm that 756 is divisible by 3 by precise division.
● Fill the right lowest doable digit within the clean area to make the quantity divisible by 3.
(i) 16335_
(ii) 20_984
(iii) 8422_1
(iv) 749_261
(v) 999_32
(vi) 1_7073
Reply: (i) 3
(ii) 4
(iii) 1
(iv) 1
(v) 1
(vi) 3
Issues on Divisibility Guidelines
Worksheet on Divisibility Guidelines
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