A 6-digit number has digits as consecutive natural numbers. The number is always divisible by _____.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 3.
Any 6-digit number formed by a consecutive natural number is always divisible by 3 because the sum of digits of any such number is divisible by 3.
Let's test the divisibility of the number = 123456
⇒ Sum of digits = 1 + 2 + 3 + 4 + 5 + 6 = 21. Since the sum of digits is divisible by 3, the number 123456 is divisible by 3.
The number = 456789
⇒ Sum of digits = 4 + 5 + 6 + 7 + 8 + 9 = 39. Since the sum of digits is divisible by 3, the number 456789 is divisible by 3.