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Question
Write the smallest digit and the greatest digit in the blank space of the following number so that the number formed is divisible by 3:
4765 ______ 2
Solution
Based on the rules of checking divisibility, if the sum of the digits of a number is a multiple of 3, then that number is divisible by 3.
Therefore, by adding smallest digit 0, 476502 = 4 + 7 + 6 + 5 + 0 + 2 = 24
By adding the biggest digit 9, 476592 = 4 + 7 + 6 + 5 + 9 + 2 = 33
Both numbers will be divisible by 3.
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