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
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) 572
The last two digits are 72. Since 72 is divisible by 4, the given
number
is also divisible by 4.
The last three digits are 572. Since 572 is not divisible by 8, the
given number is also not divisible by 8.
(b) 726352
The last two digits are 52. As 52 is divisible by 4, the given number
is also divisible by 4.
The last three digits are 352. Since 352 is divisible by 8, the given
number is also divisible by 8.
(c) 5500
Since last two digits are 00, it is divisible by 4.
The last 3 digits are 500. Since 500 is not divisible by 8, the given
number is also not divisible by 8.
(d) 6000
Since the last 2 digits are 00, the given number is divisible by 4.
Since the last 3 digits are 000, the given number is divisible by 8.
(e) 12159
The last 2 digits are 59. Since 59 is not divisible by 4, the given
number is also not divisible by 4.
The last 3 digits are 159. Since 159 is not divisible by 8, the given
number is not divisible by 8.
(f) 14560
The last two digits are 60. Since 60 is divisible by 4, the given
number is divisible by 4.
The last 3 digits are 560. Since 560 is divisible by 8, the given
number is divisible by 8.
(g) 21084
The last two digits are 84. Since 84 is divisible by 4, the given
number is divisible by 4.
The last three digits are 084. Since 084 is not divisible by 8, the
given number is not divisible by 8.
(h) 31795072
The last two digits are 72. Since 72 is divisible by 4, the given
number is divisible by 4.
The last three digits are 072. Since 072 is divisible by 8, the given
number is divisible by 8.
(i) 1700
The last two digits are 00. Since 00 is divisible by 4, the given
number is divisible by 4.
The last three digits are 700. Since 700 is not divisible by 8, the
given number is not divisible by 8.
(j) 2150
The last two digits are 50. Since 50 is not divisible by 4, the given
number is not divisible by 4.
The last three digits are 150. Since 150 is not divisible by 8, the
given number is not divisible by 8.
(a) 572
The last two digits are 72. Since 72 is divisible by 4, the given number
is also divisible by 4.
The last three digits are 572. Since 572 is not divisible by 8, the given number is also not divisible by 8.
(b) 726352
The last two digits are 52. As 52 is divisible by 4, the given number is also divisible by 4.
The last three digits are 352. Since 352 is divisible by 8, the given number is also divisible by 8.
(c) 5500
Since last two digits are 00, it is divisible by 4.
The last 3 digits are 500. Since 500 is not divisible by 8, the given number is also not divisible by 8.
(d) 6000
Since the last 2 digits are 00, the given number is divisible by 4.
Since the last 3 digits are 000, the given number is divisible by 8.
(e) 12159
The last 2 digits are 59. Since 59 is not divisible by 4, the given number is also not divisible by 4.
The last 3 digits are 159. Since 159 is not divisible by 8, the given number is not divisible by 8.
(f) 14560
The last two digits are 60. Since 60 is divisible by 4, the given number is divisible by 4.
The last 3 digits are 560. Since 560 is divisible by 8, the given number is divisible by 8.
(g) 21084
The last two digits are 84. Since 84 is divisible by 4, the given number is divisible by 4.
The last three digits are 084. Since 084 is not divisible by 8, the given number is not divisible by 8.
(h) 31795072
The last two digits are 72. Since 72 is divisible by 4, the given number is divisible by 4.
The last three digits are 072. Since 072 is divisible by 8, the given number is divisible by 8.
(i) 1700
The last two digits are 00. Since 00 is divisible by 4, the given number is divisible by 4.
The last three digits are 700. Since 700 is not divisible by 8, the given number is not divisible by 8.
(j) 2150
The last two digits are 50. Since 50 is not divisible by 4, the given number is not divisible by 4.
The last three digits are 150. Since 150 is not divisible by 8, the given number is not divisible by 8.
