Question

Q17: Using divisibility tests, check whether
(i) 70169308 is divisible by 11 or not.
(ii) 82910267 is divisible by 6 or not.
lease show steps

Answer 1

Step-by-step explanation:

Sum of the digits at odd places = 8 + 3 + 6 + 0 Sum of the digits at even places = 0 + 9 + 1 + 7 = 17 Difference = 17 - 17 = 0 As the difference between the sum of the digits at odd places and the sum of the digits at even places is O, therefore, 70169308 is divisible by 11. ... Therefore, 901153 is divisible by 11.

Answer 2

Answer:

Divisibility by 11

70169308

The difference between the sum of the digits from the odd places and the sum of the digits at the even places and check if it is 0 or multiples of 11.

Sum of number at even place = 8+3+6+0=17

Sum of number at odd place = 0+9+1+7=17

Difference = 17-17 = 0 (which is 0)

Hence, 70169308 is divisible by 11.

Divisibility by 6

A number said to be divisible by 6 if it is divisible by both 2 and 3.

82910267 is not divisible by 2

Sum of all digits = 8+2+9+1+0+2+6+7=35 which is not divisible by 3

Hence, 82910267 in not divisible by 6 because it is not divisible by both 2 and 3.