Find the largest 2-digit number divisible by 7.

To find the largest two-digit number that is divisible by 7, we first identify the largest two-digit number, which is 99.

Calculating Divisibility

Next, we need to determine if 99 is divisible by 7. We can do this by dividing 99 by 7:

• 99 ÷ 7 = 14.14 (approximately)

Since 99 is not a whole number when divided by 7, we move to the next lower number.

Finding the Largest Divisible Number

We can check the largest two-digit numbers in descending order until we find one that is divisible by 7:

• 98 ÷ 7 = 14 (not divisible)
• 97 ÷ 7 = 13.857 (not divisible)
• 96 ÷ 7 = 13.714 (not divisible)
• 95 ÷ 7 = 13.571 (not divisible)
• 94 ÷ 7 = 13.428 (not divisible)
• 93 ÷ 7 = 13.285 (not divisible)
• 92 ÷ 7 = 13.142 (not divisible)
• 91 ÷ 7 = 13 (divisible)

The Result

The largest two-digit number that is divisible by 7 is 91.