# 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

(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