The number 2146587 is divisible by which of the following?

The correct answer is Option (2) → 3

Each divisor has its own test: 3 needs the digit sum divisible by 3, 6 needs divisibility by both 2 and 3, and 8 needs the number formed by the last three digits divisible by 8.

• Digit sum \(=2+1+4+6+5+8+7=33\), and \(33=3\times11\), so the number is divisible by 3

• The last digit 7 is odd, so the number is not divisible by 2 and hence not by 6

• The last three digits form 587, and \(587=8\times73+3\), so the number is not divisible by 8

Only 3 divides 2146587, so All of the above fails as well. The answer is 3.