Question
If the 6-digit number 324a16 is completely divisible by
8, then the largest integer that can replace a is:Solution
For a number to be divisible by 8, the last three digits must be divisible by 8. Here, the last three digits are *16. Let's evaluate the values for *: • If a= 6: 616÷ 8 = 77 (divisible) • If a= 7: 716÷ 8 = 89.5 (not divisible) • If a = 8: 816 ÷ 8 = 102 (divisible) • If a = 9: 916÷ 8= 114.5 (not divisible) The largest value of a that makes the number divisible by 8 is 8.
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