Find the smallest digit value for A such that 58A4 is divisible by 4.
0
A number is divisible by 4 when the number formed by its last two digits is divisible by 4.
For 58A4, the last two digits are "A4". Test each candidate digit A from smallest upward.
For \(A = 0\): last two digits are 04, and \(04 \div 4 = 1\), which is exact.
So 5804 is divisible by 4, and 0 is the smallest digit that works.
Hence, the smallest value of A is 0.
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