Which natural number nearest to 9217 is exactly divisible by 88?

Problem Restatement

Find the closest multiple of 88 to 9217.

Concept / Approach

Compute the nearest multiples by division and compare distances.

Step-by-Step Calculation

Compute 9217 ÷ 88.88 × 104 = 9152 (since 88 × 100 = 8800; 8800 + 352 = 9152)Next multiple: 88 × 105 = 9240Distances: |9217 − 9152| = 65; |9240 − 9217| = 23Nearest multiple is 9240

Quick Check

9216 is not a multiple of 88 (88 × 104 = 9152; +64 would be 9216, but 64 is not 88).

Final Answer

9240