Fill the table using the divisibility test for 3 and 9 . Number Sum of the digits in the number Divisible by 3 9 72 197 4689 79875 988974 9 + 8 + 8 + 9 + 7 + 4 = 45 Yes Yes

We know that if the sum of the digits of a number is divisible by of 3 , then the number is divisible by 3 and if the sum is divisible by 9 , then the number is divisible by 9 . The sum of the digits of the given numbers are as follows: 72 → 7 + 2 = 9 197 → 1 + 9 + 7 = 17 4689 → 4 + 6 + 8 + 9 = 27 79875 → 7 + 9 + 8 + 7 + 5 = 36 Here, we observe that 9 is divisible both by 3 and 9 . So, 72 is divisible by both 3 and 9 . 17 is neither divisible by 3 nor by 9 . So, 197 is neither divisible by 3 , nor by 9 . 27 is divisible both by 3 and 9 . So, 4689 is divisible by both 3 and 9 . 36 is divisible both by 3 and 9 . So, 79875 is divisible by both 3 and 9 . The filled up table with the above information is shown below: Number Sum of the digits in the number Divisible by 3 9 72 72 = 7 + 2 = 9 Yes Yes 197 197 = 1 + 9 + 7 = 17 No No 4689 4689 = 4 + 6 + 8 + 9 = 27 Yes Yes 79875 79875 = 7 + 9 + 8 + 7 + 5 = 36 Yes Yes