# 195 and Level 3

• 195 is a composite number.
• Prime factorization: 195 = 3 x 5 x 13
• The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 = 8. Therefore 195 has exactly 8 factors.
• Factors of 195: 1, 3, 5, 13, 15, 39, 65, 195
• Factor pairs: 195 = 1 x 195, 3 x 65, 5 x 39, or 13 x 15
• 195 has no square factors that allow its square root to be simplified. √195 ≈ 13.96424 —————————————————————- Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-08-04

A Logical Approach to FIND THE FACTORS: Find the column or row with two clues and find their common factor. Write the corresponding factors in the factor column (1st column) and factor row (top row).  Because this is a level three puzzle, you have now written a factor at the top of the factor column. Continue to work from the top of the factor column to the bottom, finding factors and filling in the factor column and the factor row one cell at a time as you go. This site uses Akismet to reduce spam. Learn how your comment data is processed.