What is the largest four-digit number that is divisible by 16?

To find the largest four-digit number that is divisible by 16, we start with the largest four-digit number, which is 9999.

Next, we need to determine if 9999 is divisible by 16. To do this, we can perform a simple division:

• Divide 9999 by 16:

9999 ÷ 16 = 624.9375

Since the result is not an integer, we know that 9999 is not divisible by 16. To find the largest number less than 9999 that is divisible by 16, we can use the following calculation:

• Multiply the integer part of the division result (624) by 16:

624 × 16 = 9984

Now, we can check if 9984 is divisible by 16:

• Divide 9984 by 16:

9984 ÷ 16 = 624

Since this result is an integer, we can confirm that 9984 is divisible by 16. Therefore, the largest four-digit number that is divisible by 16 is 9984.