Ms. Drake 7th grade Math Number Theory Lesson 4 Prime Factorization
Jan 16, 2016
Ms. Drake 7th grade Math
Number Theory
Lesson 4
Prime Factorization
There are four children in a family. The sum of the squares of the ages of the three youngest
equals the square of the age of the oldest.
1, 4, 8, 94, 4, 7, 9
4, 6, 12, 14
Number TheoryAddition Property of EqualityAlgebraic ExpressionBaseCoefficientComposite Number ConstantDivision Property of EqualityEquation
EvaluateExponentGreatest Common Factor (GFC)Inverse OperationsIsolate the VariableLeast Common Variable (LCM)Like Terms
Number Theory
Number TheoryMultipleMultiplication Property of EqualityNumerical ExpressionOrder of OperationsPowerPrime FactorizationPrime NumberScientific NotationSolution
Number Theory
SolveStandard FormSubtraction Property Of EqualityTermVariableVerbal Expression
A prime number is a whole number
greater than 1, that has exactly two factors,
1 and itself.Three is a prime number
because its only factors are 1 and 3.
A composite number is a whole number that has more than two factors
Six is a composite number because it
has the factors 1, 2, 3 and 6.
A composite number can be written as the product of its prime factors. This
is called prime factorization of a number
Use a factor tree to find the prime factors of 36
Find the prime factors of 280
A number can have more than one factor tree.
224
There is only one prime factorization for any given
composite number.
Write the prime factorization of these numbers:
16 54 81105
A number is a prime factor of 28 and 63.
What is the number?
If the prime factors of a number are all the prime
numbers less than 10 and no factor is repeated, what is
the number?
There are 228 seventh graders. Each seventhgrade homeroom startsthe year with the same number of studentsand has at least 15 students. What is the number of homerooms needed?
A university has a lounge that can be converted into a meeting hall for 250 people. If the hall is filled and everyone is in equalgroups, what are the different ways the people can be grouped so that there are no more than 10 groups?
Create two or more factor trees for 504.
Until next time…
504 504504