Using divisibility test, determine whether the given number is divisible by 4; by 8:
31795072

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Solution

Divisibility rule for 4: A number with 3 or more digits is divisible by 4 if the number formed by its last two digits (i.e. ones and tens) is divisible by 4.
Divisibility rule for 8: A number with 4 or more digits is divisible by 8 if the number formed by the last three digits is divisible by 8.

Applying the above divisibility rules,
31795072 $\to$ Divisible by 4 as its last two digits are divisible by 4. (72 ÷ 4 = 18 )
31795072 $\to$ Divisible by 8 as its last three digits are divisible by 8. (072 ÷8 = 9)

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