Which one of the following numbers is divisible by 24?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 478656.
A number is divisible by 24 if it is divisible by both 3 and 8.
Divisibility rule of 3 - A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
Divisibility rule of 8 - The last 3 digits must be divided by 8.
In 569896, the Sum of digits = 5 + 6 + 9 + 8 + 9 + 6 = 43
Here, the sum is not divisible by 3, the number 569896 is not divisible by 24.
In 478656, the Sum of digits = 4 + 7 + 8 + 6 + 5 + 6 = 36.
Here, the sum is divisible by 3, the number 478656 may be divisible by 24.
Check for the last 3 digits of 478656 is divisible by 8.
656/8 = 82
The number 478656 is divisible by 24.