Abundant Number Example: DefinitionSimilar To/Connect Real Life: Used in science and other technology fields Prime & Composite Numbers Deficient Numbers

Abundant NumberExample:

Definition Similar 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.

Deficient NumberExample:


Real Life:

A number the sum of its factors other than the number is smaller than the number.


• Abundant Numbers


9 is an deficient number because:

1+3 = 4 which is smaller than 9.

Perfect NumberExample:


Real Life:

A number that the sum of its factors other than the number is equal to the number.


• Abundant & Deficient Numbers


6 is a perfect number because:

1+2+3 = 6 which is equal to 6.

FactorExample:


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.

FactorExample:


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.

Prime NumberExample:


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

Composite NumberExample:


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)

DivisibleExample:


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

Prime Factorization

(Factor Tree)Example:


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

23 x 3 is the Prime Factorization of 24.

Greatest Common Factor (GCF)Example:


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.

Multiple (groups of)Example:


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

Least Common Multiple (LCM)Example:


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.

Documents

Abundant Number Example: DefinitionSimilar To/Connect Real Life: Used in science and other technology fields Prime & Composite Numbers Deficient Numbers