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.


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