2. Using divisibility tests, determine which of the following numbers are divisible by 4; by 8:
(a) 572        (b) 726352         (c) 5500            (d) 6000        (e) 12159
(f) 14560     (g) 21084           (h) 31795072     (i) 1700         (j) 2150

Answers (1)

A number with 3 or more digits is divisible by 4 if the number formed by its last two digits is divisible by 4.

A number with 3 or more digits is divisible by 8 if the number formed by its last three digits is divisible by 8.

 

a)      572

72 is divisible by 4, hence the number is divisible by 4.

The number is not divisible by 8.

 

b)      726352

52 is divisible by 4, hence the number is divisible by 4.

352 is divisible by 8, hence the number is divisible by 8.

 

c)      5500

0 is divisible by 4, hence the number is divisible by 4.

500 is not divisible by 8, hence the number is not divisible by 8.

 

d)     6000

0 is divisible by 4 and 8. Hence, the number is divisible by 4 and 8.

 

e)      12159

59 is not divisible by 4. Hence, the number is not divisible by 4.

159 is not divisible by 8, hence the number is not divisible by 8.

 

f)       14560

60 is divisible by 4, hence the number is divisible by 4.

560 is divisible by 8, hence the number is divisible by 8.

 

g)      21084

84 is divisible by 4, hence the number is divisible by 4.

84 is not divisible by 8, hence the number is not divisible by 8.

 

h)      31795072

72 is divisible by 4 and 8. Hence the number is divisible by 4 and 8.

 

i)        1700

The number is divisible by 4.

700 is not divisible by 8, hence the number is not divisible by 8.

 

j)        2150

50 is not divisible by 4, hence the number is not divisible by 4.

150 is not divisible by 8, hence the number is not divisible by 8.

 

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