Divisibility by 8 test calculator

SolutionHelp

These rules let you test if one number is divisible by another, without having to do too much calculation!

Number	Divisible by	Rule	Example
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.