| 169 is a composite number and a perfect square. |
| Factor pairs: 169 = 1 x 169 or 13 x 13 |
| Factors of 169: 1, 13, 169 |
| Prime factorization: 169 = 13 x 13 which can be written 13² |
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Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-07-07
How do we know that 167 is a prime number? If 167 were not a prime number, then it would be divisible by at least one prime number less than or equal to √167 ≈ 12.9. Since 167 cannot be divided evenly by 2, 3, 5, 7, or 11, we know that 167 is a prime number.
Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-07-07
| 166 is a composite number. |
| Factor pairs: 166 = 1 x 166 or 2 x 83 |
| Factors of 166: 1, 2, 83, 166 |
| Prime factorization: 166 = 2 x 83 |
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Excel file of puzzles and previous week’s factor solutions: 12 Factors 2014-06-30
| 165 is a composite number. |
| Factor pairs: 165 = 1 x 165, 3 x 55, 5 x 33, 11 x 15 |
| Factors of 165: 1, 3, 5, 11, 15, 33, 55, 165 |
| Prime factorization: 165 = 3 x 5 x 11 |
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Excel file of puzzles and previous week’s factor solutions: 12 Factors 2014-06-30
| 164 is a composite number. |
| Factor pairs: 164 = 1 x 164, 2 x 82, or 4 x 41 |
| Factors of 164: 1, 2, 4, 41, 82, 164 |
| Prime factorization: 164 = 2 x 2 x 41, which can be written 164 = (2^2) x 4 |
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Excel file of puzzles and previous week’s factor solutions: 12 Factors 2014-06-30
| 162 is a composite number. |
| Factor pairs: 162 = 1 x 162, 2 x 81, 3 x 54, 6 x 27, 9 x 18 |
| Factors of 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162 |
| Prime factorization: 162 = 2 x 3 x 3 x 3 x 3, which can be written 162 = 2 x (3^4) |
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Excel file of puzzles and previous week’s factor solutions: 12 Factors 2014-06-30
| 161 is a composite number. |
| Factor pairs: 161 = 1 x 161 or 7 x 23 |
| Factors of 161: 1, 7, 23, 161 |
| Prime factorization: 161 = 7 x 23 |
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Excel file of puzzles and previous week’s factor solutions: 12 Factors 2014-06-30
| 160 is a composite number. |
| Factor pairs: 160 = 1 x 160, 2 x 80, 4 x 40, 5 x 32, 8 x 20, or 10 x 16 |
| Factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160 |
| Prime factorization: 160 = 2 x 2 x 2 x 2 x 2 x 5, which can also be written 160 = (2^5) x 5 |
160 = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 (the sum of the first eleven prime numbers).
Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-06-23
| 159 is a composite number. |
| Factor pairs: 159 = 1 x 159 or 3 x 53 |
| Factors of 159: 1, 3, 53, 159 |
| Prime factorization: 159 = 3 x 53 |
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Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-06-23
| 158 is a composite number. |
| Factor pairs: 158 = 1 x 158 or 2 x 79 |
| Factors of 158: 1, 2, 79, 158 |
| Prime factorization: 158 = 2 x 79 |
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Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-06-23
