Question

1. Check the divisibility of the following numbers by 2, 3, 9 and 11
a) 76543 b) 98765436

Answer 1

Answer:

76543 is not divisible by any of number

98765436 is not divisible by 9

Step-by-step explanation:

76543

number is divisible by 2  if last digit is 0 , 2 , 4 , 6 , 8

=> 76543 is not divisible by 2

number is divisible by 3  if sum of digits is divisible by 3

7 + 6 + 5 + 4 + 3 = 25

25 is not divisible by 3

=>  76543 is not divisible by 3

A number which is not divisible by 3 is not divisible by 9

=> 76543 is not divisible by 9

Number is Divisible by 11  if

subtract and then add the digits in an alternating pattern from left to right

and number got should be divisible by 11

7 - 6 + 5 - 4 + 3 = 5  not divisible by 11

=> 76543 is not divisible by 11

98765436

number is divisible by 2  if last digit is 0 , 2 , 4 , 6 , 8

ending with 6

=> 98765436 is  divisible by 2

number is divisible by 3  if sum of digits is divisible by 3

9+8+7+6+5+4+3+6 = 48

48 is  divisible by 3

=>  98765436 is divisible by 3

number is divisible by 9  if sum of digits is divisible by  9

48 is  not divisible by 9

=> 98765436 is not divisible by 9

Number is Divisible by 11  if

subtract and then add the digits in an alternating pattern from left to right

and number got should be divisible by 11

9-8+7-6+5-4+3-6 = 0   divisible by 11

=> 98765436 is divisible by 11

Answer 2

Answer:

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