Q.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


Answer :

(a) 72 are the last two digits. Since, 72 is divisible by 4. Hence, 572 is also divisible by 4
572 are the last three digits. Since, 572 is not divisible by 8.
Hence, 572 is not divisible by 8
(b) 726352
52 are the last two digits. Since, 52 is divisible by 4. Hence, 726352 is divisible by 4
352 are the last three digits. Since 352 is divisible by 8.
Hence, 726352 is divisible by 8
(c) 5500
Since, last two digits are 00. Hence 5500 is divisible by 4
500 are the last three digits. Since, 500 is not divisible by 8.
Hence, 5500 is not divisible by 8
(d) 6000
Since, last two digits are 00. Hence 6000 is divisible by 4
Since, last three digits are 000.
Hence, 6000 is divisible by 8
(e) 12159
59 are the last two digits. Since, 59 is not divisible by 4. Hence, 12159 is not divisible by 4
159 are the last three digits. Since, 159 is not divisible by 8.
Hence, 12159 is not divisible by 8
(f) 14560
60 are the last two digits. Since 60 is divisible by 4. Hence, 14560 is divisible by 4
560 are the last three digits. Since, 560 is divisible by 8. Hence, 14560 is divisible by 8
(g) 21084
84 are the last two digits. Since, 84 is divisible by 4. Hence, 21084 is divisible by 4
084 are the last three digits. Since, 084 is not divisible by 8. Hence, 21084 is not divisible by 8
(h) 31795072
72 are the last two digits. Since, 72 is divisible by 4. Hence, 31795072 is divisible by 4
072 are the last three digits. Since, 072 is divisible by 8. Hence, 31795072 is divisible by 8
(i) 1700
Since, the last two digits are 00. Hence, 1700 is divisible by 4
700 are the last three digits. Since, 700 is not divisible by 8. Hence, 1700 is not divisible by 8
(j) 2150
50 are the last two digits. Since, 50 is not divisible by 4. Hence, 2150 is not divisible by 4
150 are the last three digits. Since, 150 is not divisible by 8. Hence, 2150 is not divisible by 8

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