Divisibility by 8 test calculator

ABCDEF

2

If 'F' is even

112 (Last digit is 2, which is even)

ABCDEF

3

If 'A+B+C+D+E+F' is divisible by 3

396 (3+9+6 = 18, which is divisible by 3)

ABCDEF

4

If 'EF' is divisible by 4

112 (Last 2 digit is 12, which is divisible by 4)

ABCDEF

5

If 'F' is 0 or 5

105 (Last digit is 5)

ABCDEF

6

If 'ABCDEF' is divisible by 2 and 3

ABCDEF

7

If 'ABCDE - 2×F' is divisible by 7
(Apply this rule to the answer again if necessary)

Check 9464 is divisible by 7 or not
9464 `=>` 946 - 4 × 2 = 946 - 8 = 938
938 `=>` 93 - 8 × 2 = 93 - 16 = 77
Here 77 is divisible by 7
So 9464 is divisible by 7

ABCDEF

8

If 'DEF' is divisible by 8

5816 (Last 3 digit is 816, which is divisible by 8)

ABCDEF

9

If 'A+B+C+D+E+F' is divisible by 9

396 (3+9+6 = 18, which is divisible by 9)

ABCDEF

10

If 'F' is 0

150 (Last digit is 0)

ABCDEF

11
(method-1)

(sum of all odd place digit) - (sum of all even place digit) is 0 or divisible by 11.

2563 = [(2+6) - (5+3) = 0, which is 0]
7392 = [(7+9) - (3+2) = 11, which is divisible by 11]

ABCDEF

11
(method-2)

If 'ABCDE - F' is divisible by 11
(Apply this rule to the answer again if necessary)

Check 2563 is divisible by 11 or not
2563 `=>` 256 - 3 = 253
253 `=>` 25 - 3 = 22
Here 22 is divisible by 11
So 2563 is divisible by 11

ABCDEF

12

If 'ABCDEF' is divisible by 3 and 4

ABCDEF

13

If 'ABCDE + 4×F' is divisible by 13
(Apply this rule to the answer again if necessary).

Check 13273 is divisible by 13 or not
13273 `=>` 1327 + 3 × 4 = 1327 + 12 = 1339
1339 `=>` 133 + 9 × 4 = 133 + 36 = 169
169 `=>` 16 + 9 × 4 = 16 + 36 = 52
Here 52 is divisible by 13
So 13273 is divisible by 13

ABCDEF

14

If 'ABCDEF' is divisible by 2 and 7

ABCDEF

15

If 'ABCDEF' is divisible by 3 and 5

ABCDEF

16

If 'CDEF' is divisible by 16

10256 (Last 4 digit is 0256, which is divisible by 16) - Yes
10255 (Last 4 digit is 0255, which is not divisible by 16) - No

ABCDEF

17

If 'ABCDE - 5×F' is divisible by 17
(Apply this rule to the answer again if necessary).

Check 17544 is divisible by 17 or not
17544 `=>` 1754 - 4 × 5 = 1754 - 20 = 1734
1734 `=>` 173 - 4 × 5 = 173 - 20 = 153
153 `=>` 15 - 3 × 5 = 15 - 15 = 0
Here 0 is divisible by 17
So 17544 is divisible by 17

ABCDEF

18

If 'ABCDEF' is divisible by 2 and 9

ABCDEF

19

If 'ABCDE + 2×F' is divisible by 19
(Apply this rule to the answer again if necessary).

Check 19456 is divisible by 19 or not
19456 `=>` 1945 + 6 × 2 = 1945 + 12 = 1957
1957 `=>` 195 + 7 × 2 = 195 + 14 = 209
209 `=>` 20 + 9 × 2 = 20 + 18 = 38
Here 38 is divisible by 19
So 19456 is divisible by 19

ABCDEF

20

If 'ABCDEF' is divisible by 4 and 5

ABCDEF

21

If 'ABCDEF' is divisible by 3 and 7

ABCDEF

22

If 'ABCDEF' is divisible by 2 and 11

ABCDEF

23

If 'ABCDE + 7×F' is divisible by 23
(Apply this rule to the answer again if necessary).

Check 29946 is divisible by 23 or not
29946 `=>` 2994 + 6 × 7 = 2994 + 42 = 3036
3036 `=>` 303 + 6 × 7 = 303 + 42 = 345
345 `=>` 34 + 5 × 7 = 34 + 35 = 69
Here 69 is divisible by 23
So 29946 is divisible by 23

ABCDEF

24

If 'ABCDEF' is divisible by 3 and 8

ABCDEF

25

If 'EF' is divisible by 25

ABCDEF

26

If 'ABCDEF' is divisible by 2 and 13

ABCDEF

27

If 'ABCDE - 8×F' is divisible by 27
(Apply this rule to the answer again if necessary).

ABCDEF

28

If 'ABCDEF' is divisible by 4 and 7

ABCDEF

29

If 'ABCDE + 3×F' is divisible by 29
(Apply this rule to the answer again if necessary).

Check 37758 is divisible by 29 or not
37758 `=>` 3775 + 8 × 3 = 3775 + 24 = 3799
3799 `=>` 379 + 9 × 3 = 379 + 27 = 406
406 `=>` 40 + 6 × 3 = 40 + 18 = 58
Here 58 is divisible by 29
So 37758 is divisible by 29

ABCDEF

30

If 'ABCDEF' is divisible by 2,3 and 5

ABCDEF

31

If 'ABCDE - 3×F' is divisible by 31
(Apply this rule to the answer again if necessary).

Check 2263 is divisible by 31 or not
`2263=>226 - 3 xx 3 = 226 -9 = 217`
`217=>21 - 7 xx 3 = 21 -21 = 0`
Here 0 is divisible by 31.
So 2263 is divisible by 31.

ABCDEF

32

If 'BCDEF' is divisible by 32

ABCDEF

33

If 'ABCDEF' is divisible by 3 and 11

ABCDEF

34

If 'ABCDEF' is divisible by 2 and 17

ABCDEF

35

If 'ABCDEF' is divisible by 5 and 7

ABCDEF

36

If 'ABCDEF' is divisible by 4 and 9

ABCDEF

37

If 'ABCDE - 11×F' is divisible by 37
(Apply this rule to the answer again if necessary).

Check 2701 is divisible by 37 or not
`2701=>270 - 1 xx 11 = 270 -11 = 259`
`259=>25 - 9 xx 11 = 25 -99 = -74`
Here -74 is divisible by 37.

So 2701 is divisible by 37.

ABCDEF

38

If 'ABCDEF' is divisible by 2 and 19

ABCDEF

39

If 'ABCDEF' is divisible by 3 and 13

ABCDEF

40

If 'ABCDEF' is divisible by 5 and 8

ABCDEF

41

If 'ABCDE - 4×F' is divisible by 41
(Apply this rule to the answer again if necessary).

Check 2993 is divisible by 41 or not
`2993=>299 - 3 xx 4 = 299 -12 = 287`
`287=>28 - 7 xx 4 = 28 -28 = 0`
Here 0 is divisible by 41.

So 2993 is divisible by 41.

ABCDEF

42

If 'ABCDEF' is divisible by 2, 3 and 7

ABCDEF

43

If 'ABCDE + 13×F' is divisible by 43
(Apply this rule to the answer again if necessary).

Check 3139 is divisible by 43 or not
`3139=>313 + 9 xx 13 = 313 +117 = 430`
`430=>43 + 0 xx 13 = 43 = 43`
Here 43 is divisible by 43.
So 3139 is divisible by 43.

ABCDEF

44

If 'ABCDEF' is divisible by 4 and 11

ABCDEF

45

If 'ABCDEF' is divisible by 5 and 9

ABCDEF

46

If 'ABCDEF' is divisible by 2 and 23

ABCDEF

47

If 'ABCDE - 14×F' is divisible by 47
(Apply this rule to the answer again if necessary).

Check 11093 is divisible by 47 or not
`1109color{red}{3}=>1109 - color{red}{3} xx 14 = 1109 -42 = 1067`
`106color{red}{7}=>106 - color{red}{7} xx 14 = 106 -98 = 8`
Here 8 is not divisible by 47.
`:.` 11093 is not divisible by 47.