The largest 4-digit number is 9999. To find the largest 4-digit number that is divisible by 16, we need to divide 9999 by 16 and then round down to the nearest whole number.
When we perform the division:
9999 ÷ 16 = 624.9375
Next, we take the whole number part of this result, which is 624. Now, to find the largest 4-digit number divisible by 16, we multiply 624 by 16:
624 × 16 = 9984
Thus, 9984 is the largest 4-digit number that is divisible by 16.