Question

Using divisibility test, determine whether the given number is divisible by 11:
10824

Answer 1

Divisibility rule for 11: Find the difference between the sum of the digits at odd places (from the right) and the sum of the digits at even places (from the right) of the number. If the difference is either 0 or divisible by 11, then the number is divisible by 11.

Applying above divisibility rule,
10824 $\to$ Sum of the digits at odd places = 4 + 8 + 1 = 13
$\to$ Sum of the digits at even places = 2 + 0 = 2
$\to$ Difference of both sums = 13 - 2 = 11
Since the difference is 11, therefore, the number is divisible by 11.