Study Guide · Chapter 17
2.15 Divisibility by 16
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Rule: The number formed by the last four digits is divisible by 16. Reasoning: 10000 = 16 × 625, exactly divisible. Example 1: 3,58,4032. Last four digits = 4032. 4032 ÷ 16 = 252 → divisible by 16. Example 2: 12,34,576. Last four digits = 4576. 4576 ÷ 16 = 286 exact → divisible by 16.
Example 3: Is 2,34,576 divisible by 16? Last four digits = 4576. 4576÷16=286 exact → divisible by 16 (matches the whole-number check: 234576÷16=14661 exact ✓).
Example 4: Is 1,78,432 divisible by 16? Last four digits = 8432. 8432÷16=527 exact → divisible by 16 (178432÷16=11152 exact ✓).
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