Find the largest 4 digit number divisible by 16.

We use the division algorithm to find the largest 4 digit number divisible by 16.

Answer: The largest 4-digit number exactly divisible by 16 is 9984.

Let's use the condition given in the question to find the required number.

Explanation:

We already know the largest 4-digit number is 9999.

We know that according to the division algorithm:

Dividend = Divisor × Quotient + Remainder

Now once we divide 9999 by 16, we get:

9999 = 16 × 624 + 15

Now since 15 is the remainder when 9999 is divided by 16 it means that if we subtract 15 from 9999, we get a number perfectly divisible by 16:

9999 - 15 = 9984

Therefore, the largest 4-digit number exactly divisible by 16 is 9984.