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

2. 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.

3. 1, 4, 8, 9 4, 4, 7, 9 4, 6, 12, 14

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

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

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

10. Number Theory
Solve
Standard Form
Subtraction Property Of Equality
Term
Variable
Verbal Expression

11. 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.

12. 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.

13. 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

14. Use a factor tree to find the prime factors of 36

15. Find the prime factors of 280

16. A number can have more than one factor tree.
224

17. There is only one prime factorization for any given composite number.

18. Write the prime factorization of these numbers:

19. A number is a prime factor of 28 and 63. What is the number?

20. If the prime factors of a number are all the prime numbers less than 10 and no factor is repeated, what is the number?

21. 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?

22. 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?

23. Create two or more factor trees for 504.
Until next time…
Create two or more factor trees for 504.