Find the value of * by replacing it with the smallest digit to make 52*8 divisible by 3.


Given: 52*8

To find: Replace * by the smallest digit to make the number 52*8 divisible by 3.

Solution :
Divisibility property of 3,
The number is divisible by 3 when the sum of its digits is divisible by 3.
The sum of the digits = $5+ 2+ * + 8 = 15 + *$ 
The least number which is added with 15 to make it divisible by 3 is 0.
Therefore, the smallest digit to make the number 5208 divisible by 3 is 0.

Updated on: 10-Oct-2022

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