## Factors of 101 to 200

Understanding factors is crucial in mathematics, especially when dealing with number properties, divisibility, and prime factorization. Factors of a number are the integers that can be multiplied together to produce that number. This concept is foundational in arithmetic, algebra, and number theory. For example, factors are used to simplify fractions, find the greatest common divisors, and solve problems related to multiples and divisibility.

In this guide, we will explore the factors of numbers from 101 to 200. By examining these factors, we will identify which numbers are prime (having only two factors: 1 and the number itself) and which are composite (having more than two factors). This exercise will enhance our understanding of number properties and help in various mathematical applications. Let’s dive into the factors of each number from 101 to 200.

Download Factors of 101 to 200 in PDF

## Factors of 101 to 200

Download Factors of 101 to 200 in PDF

Numbers | Factors | Prime Factors Form | Prime/Composite |
---|---|---|---|

101 | 1, 101 | 101 | Prime |

102 | 1, 2, 3, 6, 17, 34, 51, 102 | 2 × 3 × 17 | Composite |

103 | 1, 103 | 103 | Prime |

104 | 1, 2, 4, 8, 13, 26, 52, 104 | 2³ × 13 | Composite |

105 | 1, 3, 5, 7, 15, 21, 35, 105 | 3 × 5 × 7 | Composite |

106 | 1, 2, 53, 106 | 2 × 53 | Composite |

107 | 1, 107 | 107 | Prime |

108 | 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108 | 2² × 3³ | Composite |

109 | 1, 109 | 109 | Prime |

110 | 1, 2, 5, 10, 11, 22, 55, 110 | 2 × 5 × 11 | Composite |

111 | 1, 3, 37, 111 | 3 × 37 | Composite |

112 | 1, 2, 4, 7, 8, 14, 16, 28, 56, 112 | 2⁴ × 7 | Composite |

113 | 1, 113 | 113 | Prime |

114 | 1, 2, 3, 6, 19, 38, 57, 114 | 2 × 3 × 19 | Composite |

115 | 1, 5, 23, 115 | 5 × 23 | Composite |

116 | 1, 2, 4, 29, 58, 116 | 2² × 29 | Composite |

117 | 1, 3, 9, 13, 39, 117 | 3² × 13 | Composite |

118 | 1, 2, 59, 118 | 2 × 59 | Composite |

119 | 1, 7, 17, 119 | 7 × 17 | Composite |

120 | 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 | 2³ × 3 × 5 | Composite |

121 | 1, 11, 121 | 11² | Composite |

122 | 1, 2, 61, 122 | 2 × 61 | Composite |

123 | 1, 3, 41, 123 | 3 × 41 | Composite |

124 | 1, 2, 4, 31, 62, 124 | 2² × 31 | Composite |

125 | 1, 5, 25, 125 | 5³ | Composite |

126 | 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126 | 2 × 3² × 7 | Composite |

127 | 1, 127 | 127 | Prime |

128 | 1, 2, 4, 8, 16, 32, 64, 128 | 2⁷ | Composite |

129 | 1, 3, 43, 129 | 3 × 43 | Composite |

130 | 1, 2, 5, 10, 13, 26, 65, 130 | 2 × 5 × 13 | Composite |

131 | 1, 131 | 131 | Prime |

132 | 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132 | 2² × 3 × 11 | Composite |

133 | 1, 7, 19, 133 | 7 × 19 | Composite |

134 | 1, 2, 67, 134 | 2 × 67 | Composite |

135 | 1, 3, 5, 9, 15, 27, 45, 135 | 3³ × 5 | Composite |

136 | 1, 2, 4, 8, 17, 34, 68, 136 | 2³ × 17 | Composite |

137 | 1, 137 | 137 | Prime |

138 | 1, 2, 3, 6, 23, 46, 69, 138 | 2 × 3 × 23 | Composite |

139 | 1, 139 | 139 | Prime |

140 | 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140 | 2² × 5 × 7 | Composite |

141 | 1, 3, 47, 141 | 3 × 47 | Composite |

142 | 1, 2, 71, 142 | 2 × 71 | Composite |

143 | 1, 11, 13, 143 | 11 × 13 | Composite |

144 | 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 | 2⁴ × 3² | Composite |

145 | 1, 5, 29, 145 | 5 × 29 | Composite |

146 | 1, 2, 73, 146 | 2 × 73 | Composite |

147 | 1, 3, 7, 21, 49, 147 | 3 × 7² | Composite |

148 | 1, 2, 4, 37, 74, 148 | 2² × 37 | Composite |

149 | 1, 149 | 149 | Prime |

150 | 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150 | 2 × 3 × 5² | Composite |

151 | 1, 151 | 151 | Prime |

152 | 1, 2, 4, 8, 19, 38, 76, 152 | 2³ × 19 | Composite |

153 | 1, 3, 9, 17, 51, 153 | 3² × 17 | Composite |

154 | 1, 2, 7, 11, 14, 22, 77, 154 | 2 × 7 × 11 | Composite |

155 | 1, 5, 31, 155 | 5 × 31 | Composite |

156 | 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156 | 2² × 3 × 13 | Composite |

157 | 1, 157 | 157 | Prime |

158 | 1, 2, 79, 158 | 2 × 79 | Composite |

159 | 1, 3, 53, 159 | 3 × 53 | Composite |

160 | 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160 | 2⁵ × 5 | Composite |

161 | 1, 7, 23, 161 | 7 × 23 | Composite |

162 | 1, 2, 3, 6, 9, 18, 27, 54, 81, 162 | 2 × 3⁴ | Composite |

163 | 1, 163 | 163 | Prime |

164 | 1, 2, 4, 41, 82, 164 | 2² × 41 | Composite |

165 | 1, 3, 5, 11, 15, 33, 55, 165 | 3 × 5 × 11 | Composite |

166 | 1, 2, 83, 166 | 2 × 83 | Composite |

167 | 1, 167 | 167 | Prime |

168 | 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 | 2³ × 3 × 7 | Composite |

169 | 1, 13, 169 | 13² | Composite |

170 | 1, 2, 5, 10, 17, 34, 85, 170 | 2 × 5 × 17 | Composite |

171 | 1, 3, 9, 19, 57, 171 | 3² × 19 | Composite |

172 | 1, 2, 4, 43, 86, 172 | 2² × 43 | Composite |

173 | 1, 173 | 173 | Prime |

174 | 1, 2, 3, 6, 29, 58, 87, 174 | 2 × 3 × 29 | Composite |

175 | 1, 5, 7, 25, 35, 175 | 5² × 7 | Composite |

176 | 1, 2, 4, 8, 11, 16, 22, 44, 88, 176 | 2⁴ × 11 | Composite |

177 | 1, 3, 59, 177 | 3 × 59 | Composite |

178 | 1, 2, 89, 178 | 2 × 89 | Composite |

179 | 1, 179 | 179 | Prime |

180 | 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180 | 2² × 3² × 5 | Composite |

181 | 1, 181 | 181 | Prime |

182 | 1, 2, 7, 13, 14, 26, 91, 182 | 2 × 7 × 13 | Composite |

183 | 1, 3, 61, 183 | 3 × 61 | Composite |

184 | 1, 2, 4, 8, 23, 46, 92, 184 | 2³ × 23 | Composite |

185 | 1, 5, 37, 185 | 5 × 37 | Composite |

186 | 1, 2, 3, 6, 31, 62, 93, 186 | 2 × 3 × 31 | Composite |

187 | 1, 11, 17, 187 | 11 × 17 | Composite |

188 | 1, 2, 4, 47, 94, 188 | 2² × 47 | Composite |

189 | 1, 3, 7, 9, 21, 27, 63, 189 | 3³ × 7 | Composite |

190 | 1, 2, 5, 10, 19, 38, 95, 190 | 2 × 5 × 19 | Composite |

191 | 1, 191 | 191 | Prime |

192 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192 | 2⁶ × 3 | Composite |

193 | 1, 193 | 193 | Prime |

194 | 1, 2, 97, 194 | 2 × 97 | Composite |

195 | 1, 3, 5, 13, 15, 39, 65, 195 | 3 × 5 × 13 | Composite |

196 | 1, 2, 4, 7, 14, 28, 49, 98, 196 | 2² × 7² | Composite |

197 | 1, 197 | 197 | Prime |

198 | 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198 | 2 × 3² × 11 | Composite |

199 | 1, 199 | 199 | Prime |

200 | 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 | 2³ × 5² | Composite |

The numbers from 101 to 200 include a mix of prime and composite numbers, each with their distinct sets of factors. Prime numbers in this range, such as 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, and 197, have exactly two factors: 1 and the number itself. Composite numbers, like 110, 120, 130, 140, 150, and so forth, have multiple factors including 1, the number itself, and various other divisors. Understanding these factors is crucial for simplifying fractions, solving equations, and identifying number properties, laying a solid foundation for more advanced mathematical concepts.