Which of the following digits should replace X so that the three-digit number 2X2 is divisible by 4?
1
A number is divisible by 4 when the number formed by its last two digits is divisible by 4.
Here the last two digits are \(X2\), so we need the two-digit number "X2" to be divisible by 4.
Testing the options: \(02\) (no), \(12=4\times 3\) (yes), \(22\) (no), \(42\) (no).
Only \(X=1\) makes \(212\) divisible by 4, since \(212=4\times 53\).
Hence, the digit that should replace X is 1.
If the number 6484a6 is divisible by 8, then find the least value of a.