test the following for the divisibility by 3 and 9.( a )145404
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145404/3 = 48468
145404/9 = 16156
So, it is completely divisible by both 3 and 9
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The given number is 145404.
Test of divisibility by 3 :
For a number to be divisible by 3 , the sum of all the digits of a number must be a multiple of 3 .
Here ,
1 + 4 + 5 + 4 + 0 + 4 = 18
Since , 18 is a multiple of 3 , therefore it is divisible by 3 .
Test of divisibility by 9 :
For a number to be divisible by 9 , the sum of all the digits of a number must be a multiple of 9 .
Here ,
1 + 4 + 5 + 4 + 0 + 4 = 18
Since 18 is a multiple of 9 , therefore , it is also divisible by 9 .
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