Divisibility Rule of 3
Divisibility Rule of 3:
Any natural number is divisible by 3 if the sum of its digits is also divisible by 3.
Justification:
Let us first consider case of a two digit number:
be a two digit number. Then, n can be written as
n = 10a + b, where b is units digit of n.
n = 9a + a + b
n = a multiple of 9 + ( a + b )
Since a multiple of 9 is also a multiple of 3, so
n is a multiple of 9, if ( a + b ) is a multiple of 3
Thus, a two digit number is divisible by 3, if the sum of its digits is divisible by 3.
Which of the following number is not divisible by 3? 783 , 431 , 825, 678 | |||
| Right Option : B | |||
| View Explanation | |||
If a number is divisible by 9, then it is also divisible by ________ number. | |||
| Right Option : A | |||
| View Explanation | |||
Which of the following number is divisible by 3? 561 , 322 , 905, 617 | |||
| Right Option : A | |||
| View Explanation | |||
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