Divisibility Rules for 2,3,4,5,6,8,9,10, and 12

In this lesson we talk about the concept of divisibility, and go through the rules for 2,3,4,5,6,8,9,10, and 12. Divisibility by two: a number is divisible by two, if it is even. This means its final digit is a 0,2,4,6,or 8. Divisibility by three: a number is divisible by three if the sum of its digits forms a number that is divisible by three. Divisibility by four: a number is divisible by four if the final two digits of the number form a number that is divisible by four. Divisibility by five: a number is divisible by five, if its final digit is a zero, or five. Divisibility by six: a number is divisible by six, if it is divisible by both two, and three. Divisibility by eight: a number is divisible by eight, if its final three digits forms a number that is divisible by eight. Divisibility by nine: a number is divisible by nine, if the sum of its digits forms a number that is divisible by nine. Divisibility by ten: a number is divisible by ten, if its final digit is a zero. Divisibility by twelve: A number is divisible by twelve, if the number is divisible by both three and four. "divisibility rule for 2" "divisible by 2" "divisibility rule for 3" "divisible by 3" "divisibility rule for 4" "divisible by 4" "divisibility rule for 5" "divisible by 5" "divisibility rule for 6" "divisible by 6" "divisibility rule for 8" "divisible by 8" "divisibility rule for 10" "divisible by 10" "divisibility rule for 12" "divisible by 12" "divisibility rule for 9" "divisible by 9"

Step-by-Step Computer Generated Practice:

Practice Test:

[Greenemath]

Step-by-Step Computer Generated Practice:


Practice Test:

[azanchannelreyhipolito]

Amazing i understand how about divisibility by 2 plisss

[matiaspereira]

The divisibility rules of all numbers from 101 to 200:

101: The difference between 10 times the last digit and the rest of the number is 0 or a multiple of 101

102: The number is a multiple of 2, 3 and 17 at the same time

103: The sum of 31 times the last digit and the rest of the number is a multiple of 103

104: The number is a multiple of 8 and 13 at the same time

105: The number is a multiple of 3, 5 and 7 at the same time

106: The number is a multiple of 2 and 53 at the same time

107: The difference between 32 times the last digit and the rest of the number is 0 or a multiple of 107

108: The number is a multiple of 4 and 27 at the same time

109: The sum of 11 times the last digit and the rest of the number is a multiple of 109

110: The number is a multiple of 10 and 11 at the same time

111: The number is a multiple of 3 and 37 at the same time

112: The number is a multiple of 7 and 16 at the same time

113: The sum of 34 times the last digit and the rest of the number is a multiple of 113

114: The number is a multiple of 2, 3 and 19 at the same time

115: The number is a multiple of 5 and 23 at the same time

116: The number is a multiple of 4 and 29 at the same time

117: The number is a multiple of 9 and 13 at the same time

118: The number is a multiple of 2 and 59 at the same time

119: The number is a multiple of 7 and 17 at the same time

120: The number is a multiple of 3 and 40 at the same time

121: The difference between 12 times the last digit and the rest of the number is 0 or a multiple of 121

122: The number is a multiple of 2 and 61 at the same time

123: The number is a multiple of 3 and 41 at the same time

124: The number is a multiple of 4 and 31 at the same time

125: The number ends in 000, 125, 250, 375, 500, 625, 750 or 875

126: The number is a multiple of 2, 7 and 9 at the same time

127: The difference between 38 times the last digit and the rest of the number is 0 or a multiple of 127

128: The last 7 digits are a multiple of 128; the 1, 000, 000s digit is even and the last 6 digits are 000, 000 or a multiple of 128, or the 1, 000, 000s digit is odd and the last 6 digits are the result of multiplying 64 by an odd number

129: The number is a multiple of 3 and 43 at the same time

130: The number is a multiple of 10 and 13 at the same time

131: The difference between 13 times the last digit and the rest of the number is 0 or a multiple of 131

132: The number is a multiple of 3, 4 and 11 at the same time

133: The number is a multiple of 7 and 19 at the same time

134: The number is a multiple of 2 and 67 at the same time

135: The number is a multiple of 5 and 27 at the same time

136: The number is a multiple of 8 and 17 at the same time

137: The difference between 41 times the last digit and the rest of the number is 0 or a multiple of 137

138: The number is a multiple of 2, 3 and 23 at the same time

139: The sum of 14 times the last digit and the rest of the number is a multiple of 139

140: The number is a multiple of 7 and 20 at the same time

141: The number is a multiple of 3 and 47 at the same time

142: The number is a multiple of 2 and 71 at the same time

143: The number is a multiple of 11 and 13 at the same time

144: The number is a multiple of 9 and 16 at the same time

145: The number is a multiple of 5 and 29 at the same time

146: The number is a multiple of 2 and 73 at the same time

147: The number is a multiple of 3 and 49 at the same time

148: The number is a multiple of 4 and 37 at the same time

149: The sum of 15 times the last digit and the rest of the number is a multiple of 149

150: The number is a multiple of 3 and 50 at the same time

151: The difference between 15 times the last digit and the rest of the number is 0 or a multiple of 151

152: The number is a multiple of 8 and 19 at the same time

153: The number is a multiple of 9 and 17 at the same time

154: The number is a multiple of 2, 7 and 11 at the same time

155: The number is a multiple of 5 and 31 at the same time

156: The number is a multiple of 3, 4 and 13 at the same time

157: The difference between 47 times the last digit and the rest of the number is 0 or a multiple of 157

158: The number is a multiple of 2 and 79 at the same time

159: The number is a multiple of 3 and 53 at the same time

160: The last 5 digits are a multiple of 160; the 10, 000s digit is even and the last 4 digits are 0, 000 or a multiple of 160, or the 10, 000s digit is odd and the last 4 digits are the result of multiplying 80 by an odd number

161: The number is a multiple of 7 and 23 at the same time

162: The number is a multiple of 2 and 81 at the same time

163: The sum of 49 times the last digit and the rest of the number is a multiple of 163

164: The number is a multiple of 4 and 41 at the same time

165: The number is a multiple of 3, 5 and 11 at the same time

166: The number is a multiple of 2 and 83 at the same time

167: The difference between 50 times the last digit and the rest of the number is 0 or a multiple of 167

168: The number is a multiple of 3, 7 and 8 at the same time

169: The sum of 17 times the last digit and the rest of the number is a multiple of 169

170: The number is a multiple of 10 and 17 at the same time

171: The number is a multiple of 9 and 19 at the same time

172: The number is a multiple of 4 and 43 at the same time

173: The sum of 52 times the last digit and the rest of the number is a multiple of 173

174: The number is a multiple of 2, 3 and 29 at the same time

175: The number is a multiple of 7 and 25 at the same time

176: The number is a multiple of 11 and 16 at the same time

177: The number is a multiple of 3 and 59 at the same time

178: The number is a multiple of 2 and 89 at the same time

179: The sum of 18 times the last digit and the rest of the number is a multiple of 179

180: The number is a multiple of 9 and 20 at the same time

181: The difference between 18 times the last digit and the rest of the number is 0 or a multiple of 181

182: The number is a multiple of 2, 7 and 13 at the same time

183: The number is a multiple of 3 and 61 at the same time

184: The number is a multiple of 8 and 23 at the same time

185: The number is a multiple of 5 and 37 at the same time

186: The number is a multiple of 2, 3 and 31 at the same time

187: The number is a multiple of 11 and 17 at the same time

188: The number is a multiple of 4 and 47 at the same time

189: The number is a multiple of 7 and 27 at the same time

190: The number is a multiple of 10 and 19 at the same time

191: The difference between 19 times the last digit and the rest of the number is 0 or a multiple of 191

192: The number is a multiple of 3 and 64 at the same time

193: The sum of 58 times the last digit and the rest of the number is a multiple of 193

194: The number is a multiple of 2 and 97 at the same time

195: The number is a multiple of 3, 5 and 13 at the same time

196: The number is a multiple of 4 and 49 at the same time

197: The difference between 59 times the last digit and the rest of the number is 0 or a multiple of 197

198: The number is a multiple of 2, 9 and 11 at the same time

199: The sum of 20 times the last digit and the rest of the number is a multiple of 199

200: The number ends in 000, 200, 400, 600 or 800