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The prime factors of 105 can only be prime numbers less than the square root of 105.

The greatest prime less than the square root of 105 is 7, so the only numbers that need to be considered as possible prime factors of 105 are 2, 3, 5, and 7.

2 cannot be one of its prime factors because 105 is an odd number.

Divide 105 by the next larger possible prime, 3, and the quotient is 35, proving that 3 is a prime factor of 105. 35 cannot be divided by 3, but 5 goes into 35 leaving a quotient of 7.

The prime factorization of 105 is 3 x 5 x 7.

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Q: What is the sum of all the distinct positive prime factors of 105?
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What is the prime factors for 105?

The prime factors of 105 are: 3,5,7


What are x prime factors of 105?

The prime factors of 105 are 3, 5 and 7.


What number below 160 has exactly 3 prime factors?

30, 42, 66, 78, 102, 105, 114, 138 all have exactly three distinct prime factors.


What prime numbers go into 105?

The prime factors of 105 are: 3,5,7


What prime factors do 105 and 126 have in common?

The prime factors of 105 are 3, 5, and 7.The prime factors of 126 are 2, 3, 3, and 7.Therefore the prime factors that 105 and 126 have in common are 3, and 7.


What are the factors and prime factors of -105?

The factors of -105 are 1, 3, 5, 7, 15, 21, 35, 105 and their negatives. The prime factors are 3, 5 and 7


Which prime numbers equal 105?

The prime numbers (factors) of 105 are: 3,5,7


What are the factors and prime factors of 105?

105 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 8 factors of 105 are 1, 3, 5, 7, 15, 21, 35, and 105.The factor pairs of 105 are 1 x 105, 3 x 35, 5 x 21, and 7 x 15.The proper factors of 105 are 1, 3, 5, 7, 15, 21, and 35 or,if the definition you are using excludes 1, they are 3, 5, 7, 15, 21, and 35.The prime factors of 105 are 3, 5, and 7.The distinct prime factors (listing each prime factor only once) of 105 are also 3, 5, and 7.The prime factorization of 105 is 3 x 5 x 7.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.


What are the prime factors of the numbers from 1 to 200?

A prime factor is a factor of the given number that is a prime number. When the prime factors are multiplied together, the result is the number itself. To list the distinct prime factors of a number, take one of each prime number that is a factor (no repetition). The prime factors of the numbers through 200 are: The only factor of 1 is 1. The prime factor of 2 is 2. The prime factor of 3 is 3. The prime factors of 4 are 2 and 2. (There is only one distinct prime factor: 2.) The prime factor of 5 is 5. The prime factors of 6 are 2 and 3. The prime factor of 7 is 7. The prime factors of 8 are 2, 2, and 2. (There is only one distinct prime factor: 2.) The prime factors of 9 are 3 and 3. (There is only one distinct prime factor: 3.) The prime factors of 10 are 2 and 5. The prime factor of 11 is 11. The prime factors of 12 are 2, 2, and 3. (There are only two distinct prime factors: 2, 3.) The prime factor of 13 is 13. The prime factors of 14 are 2 and 7. The prime factors of 15 are 3 and 5. The prime factors of 16 are 2, 2, 2, and 2. (There is only one distinct prime factor: 2.) The prime factor of 17 is 17. The prime factors of 18 are 2, 3, and 3. (There are only two distinct prime factors: 2, 3.) The prime factor of 19 is 19. The prime factors of 20 are 2, 2, and 5. (There are only two distinct prime factors: 2, 5.) The prime factors of 21 are 3 and 7. The prime factors of 22 are 2 and 11. The prime factor of 23 is 23. The prime factors of 24 are 2, 2, 2, and 3. (There are only two distinct prime factors: 2, 3.) The prime factors of 25 are 5 and 5. (There is only one distinct prime factor: 5.) The prime factors of 26 are 2 and 13. The prime factors of 27 are 3, 3, and 3. (There is only one distinct prime factor: 3.) The prime factors of 28 are 2, 2, and 7. (There are only two distinct prime factors: 2, 7.) The prime factor of 29 is 29. The prime factors of 30 are 2, 3, and 5. The prime factor of 31 is 31. The prime factors of 32 are 2, 2, 2, 2, and 2. (There is only one distinct prime factor: 2.) The prime factors of 33 are 3 and 11. The prime factors of 34 are 2 and 17. The prime factors of 35 are 5 and 7. The prime factors of 36 are 2, 2, 3, and 3. (There are only two distinct prime factors: 2, 3.) The prime factor of 37 is 37. The prime factors of 38 are 2 and 19. The prime factors of 39 are 3 and 13. The prime factors of 40 are 2, 2, 2, and 5. (There are only two distinct prime factors: 2, 5.) The prime factor of 41 is 41. The prime factors of 42 are 2, 3, and 7. The prime factor of 43 is 43. The prime factors of 44 are 2, 2, and 11. (There are only two distinct prime factors: 2, 11.) The prime factors of 45 are 3, 3, and 5. (There are only two distinct prime factors: 3, 5.) The prime factors of 46 are 2 and 23. The prime factor of 47 is 47. The prime factors of 48 are 2, 2, 2, 2, and 3. (There are only two distinct prime factors: 2, 3.) The prime factors of 49 are 7 and 7. (There is only one distinct prime factor: 7.) The prime factors of 50 are 2, 5, and 5. (There are only two distinct prime factors: 2, 5.) The prime factors of 51 are 3 and 17. The prime factors of 52 are 2, 2, and 13. (There are only two distinct prime factors: 2, 13.) The prime factor of 53 is 53. The prime factors of 54 are 2, 3, 3, and 3. (There are only two distinct prime factors: 2, 3.) The prime factors of 55 are 5 and 11. The prime factors of 56 are 2, 2, 2, and 7. (There are only three distinct prime factors: 2, 7.) The prime factors of 57 are 3 and 19. The prime factors of 58 are 2 and 29. The prime factor of 59 is 59. The prime factors of 60 are 2, 2, 3, and 5. (There are only three distinct prime factors, 2, 3, 5.) The prime factor of 61 is 61. The prime factors of 62 are 2 and 31. The prime factors of 63 are 3, 3, and 7. (There are only two distinct prime factors: 3, 7.) The prime factors of 64 are 2, 2, 2, 2, 2, and 2. (There is only one distinct prime factor: 2.) The prime factors of 65 are 5 and 13. The prime factors of 66 are 2, 3, and 11. The prime factor of 67 is 67. The prime factors of 68 are 2, 2, and 17. (There are only two distinct prime factors: 2, 17.) The prime factors of 69 are 3 and 23. The prime factors of 70 are 2, 5, and 7. The prime factor of 71 is 71. The prime factors of 72 are 2, 2, 2, 3, and 3. (There are only two distinct prime factors: 2, 3.) The prime factor of 73 is 73. The prime factors of 74 are 2 and 37. The prime factors of 75 are 3, 5, and 5. The prime factors of 76 are 2, 2, and 19. (There are only two distinct prime factors: 2, 19.) The prime factors of 77 are 7 and 11. The prime factors of 78 are 2, 3, and 13. The prime factor of 79 is 79. The prime factors of 80 are 2, 2, 2, 2, and 5. (There are only two distinct prime factors: 2, 5.) The prime factors of 81 are 3, 3, 3, and 3. (There is only one distinct prime factor: 3.) The prime factors of 82 are 2 and 41. The prime factor of 83 is 83. The prime factors of 84 are 2, 2, 3, and 7. (There are only three distinct prime factors: 2, 3, 7.) The prime factors of 85 are 5 and 17. The prime factors of 86 are 2 and 43. The prime factors of 87 are 3 and 29. The prime factors of 88 are 2, 2, 2, and 11. (There are only two distinct prime factors: 2, 11.) The prime factor of 89 is 89. The prime factors of 90 are 2, 3, 3, and 5. (There are only three distinct prime factors: 2, 3, 5.) The prime factors of 91 are 7 and 13. The prime factors of 92 are 2, 2, and 23. (There are only two distinct prime factors: 2, 23.) The prime factors of 93 are 3 and 31. The prime factors of 94 are 2 and 47. The prime factors of 95 are 5 and 19. The prime factors of 96 are 2, 2, 2, 2, 2, and 3. (There are only two distinct prime factors: 2, 3.) The prime factor of 97 is 97. The prime factors of 98 are 2, 7, and 7. (There are only two distinct prime factors: 2, 7.) The prime factors of 99 are 3, 3, and 11. (There are only two distinct prime factors: 3, 11.) The prime factors of 100 are 2, 2, 5, and 5. (There are only two distinct prime factors: 2, 5.) The prime factor of 101 is 101. The prime factors of 102 are 2, 3, and 17. The prime factor of 103 is 103. The prime factors of 104 are 2, 2, 2, and 13. (There are only two distinct prime factors: 2, 13.) The prime factors of 105 are 3, 5, and 7. The prime factors of 106 are 2 and 53. The prime factor of 107 is 107. The prime factors of 108 are 2, 2, 3, 3, and 3. (There are only two distinct prime factors: 2, 3.) The prime factor of 109 is 109. The prime factors of 110 are 2, 5, and 11. The prime factors of 111 are 3 and 37. The prime factors of 112 are 2, 2, 2, 2, and 7. (There are only two distinct prime factors: 2, 7.) The prime factor of 113 is 113. The prime factors of 114 are 2, 3, and 19. The prime factors of 115 are 5 and 23. The prime factors of 116 are 2, 2, and 29. (There are only two distinct prime factors: 2, 29.) The prime factors of 117 are 3, 3, and 13. (There are only two distinct prime factors: 3, 13.) The prime factors of 118 are 2 and 59. The prime factors of 119 are 7 and 17. The prime factors of 120 are 2, 2, 2, 3, and 5. (There are only three distinct prime factors: 2, 3, 5.) The prime factors of 121 are 11 and 11. (There is only one distinct prime factor: 11.) The prime factors of 122 are 2 and 61. The prime factors of 123 are 3 and 41. The prime factors of 124 are 2, 2, and 31. (There are only two distinct prime factors: 2, 31.) The prime factors of 125 are 5, 5, and 5. (There is only one distinct prime factor: 5.) The prime factors of 126 are 2, 3, 3, and 7. (There are only three distinct prime factors: 2, 3, 7.) The prime factor of 127 is 127. The prime factors of 128 are 2, 2, 2, 2, 2, 2, and 2. (There is only one distinct prime factor: 2.) The prime factors of 129 are 3 and 43. The prime factors of 130 are 2, 5, and 13. The prime factor of 131 is 131. The prime factors of 132 are 2, 2, 3, and 11. (There are only three distinct prime factors: 2, 3, 11.) The prime factors of 133 are 7 and 19. The prime factors of 134 are 2 and 67. The prime factors of 135 are 3, 3, 3, and 5. (There are only two distinct prime factors: 3, 5.) The prime factors of 136 are 2, 2, 2, and 17. (There are only two distinct prime factors: 2, 17.) The prime factor of 137 is 137. The prime factors of 138 are 2, 3, and 23. The prime factor of 139 is 139. The prime factors of 140 are 2, 2, 5, and 7. (There are only three distinct prime factors: 2, 5, 7.) The prime factors of 141 are 3 and 47. The prime factors of 142 are 2 and 71. The prime factors of 143 are 11 and 13. The prime factors of 144 are 2, 2, 2, 2, 3, and 3. (There are only two distinct prime factors: 2, 3.) The prime factors of 145 are 5 and 29. The prime factors of 146 are 2 and 73. The prime factors of 147 and 3, 7, and 7. (There are only two distinct prime factors: 3, 7.) The prime factors of 148 are 2, 2, and 37. (There are only two distinct prime factors: 2, 37.) The prime factor of 149 is 149. The prime factors of 150 are 2, 3, 5, and 5. (There are only three distinct prime factors: 2, 3, 5.) The prime factor of 151 is 151. The prime factors of 152 are 2, 2, 2, and 19. (There are only two distinct prime factors: 2, 19.) The prime factors of 153 are 3, 3, and 17. (There are only two distinct prime factors: 3, 17.) The prime factors of 154 are 2, 7, and 11. The prime factors of 155 are 5 and 31. The prime factors of 156 are 2, 2, 3, and 13. (There are only three distinct prime factors: 2, 3, 13.) The prime factor of 157 is 157. The prime factors of 158 are 2 and 79. The prime factors of 159 are 3 and 53. The prime factors of 160 are 2, 2, 2, 2, 2, and 5. (There are only two distinct prime factors: 2, 5.) The prime factors of 161 are 7 and 23. The prime factors of 162 are 2, 3, 3, 3, and 3. (There are only two distinct prime factors: 2, 3.) The prime factor of 163 is 163. The prime factors of 164 are 2, 2, and 41. (There are only two distinct prime factors: 2, 41.) The prime factors of 165 are 3, 5, and 11. The prime factors of 166 are 2 and 83. The prime factor of 167 is 167 The prime factors of 168 are 2, 2, 2, 3, and 7. (There are only three distinct prime factors: 2, 3, 7.) The prime factors of 169 are 13 and 13. (There is only one distinct prime factor: 13.) The prime factors of 170 are 2, 5, and 17. The prime factors of 171 are 3, 3, and 19. (There are only two distinct prime factors: 3, 19.) The prime factors of 172 are 2, 2, and 43. (There are only two distinct prime factors: 2, 43.) The prime factor of 173 is 173. The prime factors of 174 are 2, 3, and 29. The prime factors of 175 are 5, 5, and 7. (There are only two distinct prime factors: 5, 7.) The prime factors of 176 are 2, 2, 2, 2, and 11. (There are only two distinct prime factors: 2, 11.) The prime factors of 177 are 3 and 59. The prime factors of 178 are 2 and 89. The prime factor of 179 is 179. The prime factors of 180 are 2, 2, 3, 3, and 5. (There are only three distinct prime factors: 2, 3, 5.) The prime factor of 181 is 181. The prime factors of 182 are 2, 7, and 13. The prime factors of 183 are 3 and 61. The prime factors of 184 are 2, 2, 2, and 23. (There are only two distinct prime factors: 2, 23.) The prime factors of 185 are 5 and 37. The prime factors of 186 are 2, 3, and 31. The prime factors of 187 are 11 and 17. The prime factors of 188 are 2, 2, and 47. (There are only two distinct prime factors: 2, 47.) The prime factors of 189 are 3, 3, 3, and 7. (There are only two distinct prime factors: 3, 7.) The prime factors of 190 are 2, 5, and 19. The prime factor of 191 is 191. The prime factors of 192 are 2, 2, 2, 2, 2, 2, and 3. (There are only two distinct prime factors: 2, 3.) The prime factor of 193 is 193. The prime factors of 194 are 2 and 97. The prime factors of 195 are 3, 5, and 13. The prime factors of 196 are 2, 2, 7, and 7. (There are only two distinct prime factors: 2, 7.) The prime factor of 197 is 197. The prime factors of 198 are 2, 3, 3, and 11. (There are only three distinct prime factors: 2, 3, 11.) The prime factor of 199 is 199. The prime factors of 200 are 2, 2, 2, 5, and 5. (There are only two distinct prime factors: 2, 5.)


What are the Prime factors of 105 in index form?

No indices are needed because as a product of its prime factors: 3*5*7 = 105


Is 96 and 105 relative prime?

Yes, 96 and 105 are relatively prime because they have no prime factors in common.


How do you do prime factorization of 21 and 105 without using a calculator?

Prime factors of 21: 3 and 7 Prime factors of 105: 3, 5 and 7