175 is a composite number. |

Factor pairs: 175 = 1 x 175, 5 x 35, or 7 x 25 |

Factors of 175, 1, 5, 7, 25, 35, 175 |

Prime factorization: 175 = 5 x 5 x 7 which can be written 175 = (5^2) x 7 |

When the double-the-last-digit-and-subtract-it-from-the-remaining-numbers divisibility trick for 7 is applied to 17**5 **we get: 17 – (**5** x 2) = 17 – 10 = 7, a multiple of 7, so 175 can be evenly divided by 7.

Excel file of puzzles and previous week’s factor solutions: 12 Factors 2014-07-14