### Today’s Puzzle:

When I was looking for the song about the shillelagh for my previous post, I found another one called Two-Shillelagh O’Sullivan also by Bing Crosby. It wasn’t a song from my childhood, but it inspired me to make a puzzle with two shillelaghs anyway. In the song, O’Sullivan wears these walking sticks in a holster and can draw them quicker than anyone can draw a gun. He was impossible to beat.

This two-shillelagh puzzle is also a bit difficult to beat. You’re not going to let that stop you from trying, are you? Just use logic and your knowledge of the multiplication table.

Write the numbers from 1 to 12 in the first column and again in the top row so that those numbers are the factors of the given clues.

Here’s the same puzzle in black and white:

### Factors of 1758:

- 1758 is a composite number.
- Prime factorization: 1758 = 2 × 3 × 293.
- 1758 has no exponents greater than 1 in its prime factorization, so √1758 cannot be simplified.
- The exponents in the prime factorization are 1, 1, and 1. Adding one to each exponent and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 = 8. Therefore 1758 has exactly 8 factors.
- The factors of 1758 are outlined with their factor pair partners in the graphic below.

### More About the Number 1758:

1758 is the hypotenuse of a Pythagorean triple:

408-1710-1758, which is **6** times (68-285-**293**).

1758 is palindrome 8E8 in base 14

because 8(14²) + 13(14) + 8(1) = 1758.