Using divisibility tests, determine which of the following numbers are divisible by 4?
(a) 4096
(b) 21084
(c) 31795012
(a) A number is divisible by 4 if the number formed by its two last digits is divisible by 4
Number formed by last two digits of 4096 = 96
96 is divisible by 4
Hence, 4096 is divisible by 4.
(b) A number is divisible by 4 if the number formed by its two last digits is divisible by 4
Number formed by last two digits of 21084 = 84
84 is divisible by 4
Hence, 21084 is divisible by 4.
(c) A number is divisible by 4 if the number formed by its two last digits is divisible by 4
Number formed by last two digits of 31795012 = 12
12 is divisible by 4
Hence, 31795012 is divisible by 4.