An old puzzle:
How many squares in a checkerboard? No, not 64. How many squares OF ANY SIZE? And how many rectangles in a checkerboard?
How many squares or rectangles on an n-by-n board?
Answer available Feb 18 - next puzzle.
2002 is a PALINDROMIC year - it reads the same backwards or forwards, like 1991. Find 3 palindromic factors which multiplied together give the palindromic number 20022002.
Answer:
Get the prime factors of 20022002 = 2 * 7 * 11 * 13 * 73 * 137. Re-arrange to get 137 * 7 = 959, 13 * 73 = 949, leaving 2 * 11 = 22.
20022002 = 22 * 949 * 959. Pretty unique!