Number Theory Lesson 4 Prime Factorization Ms. Drake 7th grade Math Number Theory Lesson 4 Prime Factorization

There are four children in a family 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, 9 4, 4, 7, 9 4, 6, 12, 14

Number Theory Addition Property of Equality Algebraic Expression Base Coefficient Composite Number Constant Division Property of Equality Equation

Number Theory Evaluate Exponent Greatest Common Factor (GFC) Inverse Operations Isolate the Variable Least Common Variable (LCM) Like Terms

Number Theory Multiple Multiplication Property of Equality Numerical Expression Order of Operations Power Prime Factorization Prime Number Scientific Notation Solution

Number Theory Solve Standard Form Subtraction Property Of Equality Term Variable Verbal 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 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 81 105

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 seventh grade homeroom starts the year with the same number of students and 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 equal groups, 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… Create two or more factor trees for 504.

504 504 504