Which number can be written as a rectangle in the GREATEST number of different ways (counting rows x columns, where row count differs)?

Question

Accepted Answer

12. 12 = 1x12, 2x6, 3x4 (and reverses) -> 3 shapes. 16 = 1x16, 2x8, 4x4 -> 3 but with a square; 9 = 1x9, 3x3 -> 2; 13 is prime -> 1. 12 has the most distinct non-square rectangles.

Which number can be written as a rectangle in the GREATEST number of different ways (counting rows $x$ columns, where row count differs)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Patterns in Whole Numbers practice