1. Abundant Number Example: DefinitionSimilar To/Connect Real Life: Used in science and other technology fields Prime & Composite Numbers Deficient Numbers A number the sum of its factors other than the number is larger than the number. 12 is an abundant number because: 1+2+3+4+6 = 16 which is larger than 12.

2. Deficient Number Example: DefinitionSimilar To/Connect Real Life: A number the sum of its factors other than the number is smaller than the number. Prime & Composite Numbers Abundant Numbers Used in science and other technology fields 9 is an deficient number because: 1+3 = 4 which is smaller than 9.

3. Perfect Number Example: DefinitionSimilar To/Connect Real Life: A number that the sum of its factors other than the number is equal to the number. Prime & Composite Numbers Abundant & Deficient Numbers Used in science and other technology fields 6 is a perfect number because: 1+2+3 = 6 which is equal to 6.

4. Factor Example: DefinitionSimilar To/Connect Real Life: Trying to divide up a class of students evenly Having a B’Day party and dividing up gift bags Division Facts Multiplication Facts A number that will go into another number evenly 5 is a factor of 25 because 5 will go into 25 evenly with no remainder.

5. Factor Example: DefinitionSimilar To/Connect Real Life: Trying to divide up a class of students evenly Having a B’Day party and dividing up gift bags Division Facts Multiplication Facts A number that will go into another number evenly 5 is a factor of 25 because 5 will go into 25 evenly with no remainder.

6. Prime Number Example: DefinitionSimilar To/Connect Real Life: Multiplication Division 3 is a prime number because the factors of 3 are 3 and 1. A number with exactly two factors, itself and 1. Prime Rib In your prime years of life (youth) Government – for encryption (Secret code) Charge card #s on the internet

7. Composite Number Example: DefinitionSimilar To/Connect Real Life: Composite – concrete mixture of sand and rocks Composite Hockey Sticks Composite Baseball Bats Multiplication Division Patterns 15 is a composite number because the factors of 15 are 1, 3, 5, 15. A number with more than two factors (has at least 3 factors)

8. Divisible Example: DefinitionSimilar To/Connect Real Life: Having a party and we need to know how many packages of hot dogs I need to buy. Division Factors Prime & Composite Numbers 15 is divisible by 5 because 5 will divide into 15 with no remainder. A number that will divide into another number without a remainder

9. Prime Factorization (Factor Tree) Example: DefinitionSimilar To/Connect Real Life: Breaking things down to their basic parts – The Constitution is the basic parts for our government. Factors Outside In Strategy Exponents Multiplication Simplifying fractions A number written as a product of its prime factors Write the Prime Factorization of 24. 24 / \ 2 12 / \ 3 4 / \ 2 2 2 3 x 3 is the Prime Factorization of 24.

10. Greatest Common Factor (GCF) Example: DefinitionSimilar To/Connect Real Life: Factors Outside In Strategy Multiplication Common Factors The largest common factor of two or more given numbers To figure out how many people we can invite To arrange something into rows or groups Find the GCF of 24 and 32. 24 = 1 2 3 4 6 8 12 24 32 = 1 2 4 8 16 32 The GCF of 24 and 32 is 8.

11. Multiple (groups of) Example: DefinitionSimilar To/Connect Real Life: Factors Groups of Repeated addition Multiplication Facts Multiple births – twins, triplets, etc. Multiples of items to buy - groups of items List the first 5 multiples of 6. 6 – 6, 12, 18, 24, 30 The product of any number and a whole number

12. Least Common Multiple (LCM) Example: DefinitionSimilar To/Connect Real Life: GCF Groups of Repeated addition Multiplication Facts The smallest common multiple of two or more given numbers To figure out how many packages of a particular item to buy, i.e. packs of 10 Find the LCM of 2 and 9. 2 = 2 4 6 8 10 12 14 16 18 9 = 9 18 The LCM of 2 and 9 is 18.