119 is a composite number. 119 = 1 x 119 or 7 x 17. Factors of 119: 1, 7, 17, 119. Prime factorization: 119 = 7 x 17.
119 is never a clue in the FIND THE FACTORS puzzles.
119 is the sum of consecutive prime numbers two ways. Each way begins with one of its prime factors!
7 + 11 + 13 + 17 + 19 + 23 + 29 = 119 (That’s 7 consecutive primes!)
17 + 19 + 23 + 29 + 31 = 119
Excel file of this week’s puzzles and last week’s factors: 10 Factors 2014-05-12
118 is a composite number. 118 = 1 x 118 or 2 x 59. Factors of 118: 1, 2, 59, 118. Prime factorization: 118 = 2 x 59.
118 is never a clue in the FIND THE FACTORS puzzles.
Excel file of puzzles and the previous week’s factors: 10 Factors 2014-05-12
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:
117 is a composite number. 117 = 1 x 117, 3 x 39, or 9 x 13. Factors of 117: 1, 3, 9, 13, 39, 117. Prime factorization: 117 = 3 x 3 x 13, which can also be written 3² x 13.
117 is never a clue in the FIND THE FACTORS puzzles.
Excel file of this week’s puzzles and last week’s factors: 10 Factors 2014-05-12
