Test the divisibility of 1000001 by 11 .

The given number is 10000001 We know that, The divisibility by 11 rule states that if the difference of the sum of the digits at odd places and the sum of the digits at even places of the number is 0 or divisible by 11 , then the given number is also divisible by 11 . Sum of digits at odd places = ( 1 + 0 + 0 + 0 ) = 1 Sum of digits at even places = ( 0 + 0 + 0 + 1 ) = 1 The difference between the two sums = ( 1 - 1 ) = 0 . Hence, 10000001 is divisible by 11 .

Test the divisibility of 618 by 4 .

The given number is 618 . We know that, A number is divisible by 4 if the number formed by its digits in the tens and ones places is divisible by 4 . The number formed by the tens and one's digits is 18 , which is not divisible by 4 . Hence, 618 is not divisible by 4 .

Test the divisibility of 2650 by 2 .

The given number is 2650 . We know that, A number is divisible by 2 if its units digit is 0 , 2 , 4 , 6 or 8 . Units digit of the number 2650 is 0 . Therefore, the number 2650 is divisible by 2 .

Test the divisibility of 5790 by 10 .

The given number is 5790 . We know that, A number is divisible by 10 if its one's digit is 0 . Here, the one's digit of 5790 is 0 Hence, 5790 is divisible by 10 .

Test the divisibility of 9364 by 8 .

The given number is 9364 . We know that, A number is divisible by 8 if the number formed by the last three digits (digits in the hundreds, tens, and units places) is divisible by 8 . The number formed by hundreds, tens and ones digits is 364 , which is not divisible by 8 . Hence, 9364 is not divisible by 8 .

Test the divisibility of 4334 by 11 .

The given number is 4334 . We know that, A number is divisible by 11 if the difference of the sum of its digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11 . Sum of the digits at odd places = 4 + 3 = 7 Sum of the digits at even places = 3 + 4 = 7 The difference between the two sums = 7 - 7 = 0 , which is divisible by 11 . Hence, 4334 is divisible by 11 .

Test the divisibility of 4965 by 5 .

Given number is 4965 We know that, A number is divisible by 5 if its one's digit is either 0 or 5 . Since one's digit of 4965 is 5 , which is divisible by 5 . Hence, 4965 is divisible by 5 .

Test the divisibility of 826 by 7 .

The given number is 826 . We know that, A number is divisible by 7 if the difference between twice the ones digit and the number formed by the other digits is either 0 or a multiple of 7 . Here, ones digit of the given number is 6 . Thus, the remaining number will be 82 . Clearly 82 - 2 × 6 = 70 , which is divisible by 7 . Hence, 826 is divisible by 7 .

Test the divisibility of 2358 by 9 .

The given number is 2358 . We know that, A number is divisible by 9 if the sum of its digits is divisible by 9 . Sum of its digits = 2 + 3 + 5 + 8 = 18 , which is divisible by 9 . Hence, 2358 is divisible by 9 .