1. Rules of Divisibility 1 - always a factor. 2 - if the last digit is a 0, 2, 4, 6, or 8. 3 - if the sum of the digits is divisible by 3. 4 - if the last two digits are divisible by 4. 5 - if the last digit is a 5 or 0. 6 - if it is divisible by 2 and 3. 7 - no shortcut. 8 - the last three digits are divisible by 8. 9 - the sum of the digits is divisible by 9. 10 - the last digit is a 0.

2. Find the factors of 24. 1 x 24 = 241 is always a factor. 2 x 12 = 24The last digit is a 4. 3 x 8 = 242 + 4 = 6 and is divisible by 3. 4 x 6 = 24Not a shortcut this time. 5 x ?Not a factor this time. 6 x 4 = 242 and 3 already worked. 7 x ?Not a factor this time. 8 x 3 = 24 9 x ?Not a factor this time. 10 x ?Not a factor this time. 1, 2, 3, 4, 6, 8, 12, 24

3. List all factors. 1.75 2.96 3.124 4.256 5.400 6.354 7.189 1, 3, 5, 15, 25, 75 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 1, 2, 4, 31, 62, 124 1, 2, 4, 8, 16, 32, 64, 128, 256 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 1, 2, 3, 6, 59, 118, 177, 354 1, 3, 7, 9, 21, 27, 63, 189