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# Multiples, Factors and Primes

Prime Numbers, highest common factor, lowest common multiple, prime factorization
by

## Rebecca Chee

on 11 September 2013

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#### Transcript of Multiples, Factors and Primes

Learning Objective:
to be able to define multiples, factors and primes
to be able to find the highest common factor and the lowest common multiple
to be able to express a number as a product of its primes
Multiples, Factors and Primes
Success Criteria:
I can tell my friend what a multiple, a factor and a prime numbers is
I can find prime numbers
I can find the highest common factor and lowest common multiple between two or more numbers
I am able to express a number as a product of its primes
Key Words
Factor: a number that divides evenly into another number

Prime Number: A number that only has two different factors, one and itself

Multiple: A number that can be divided by another number without a remainder

Prime Factor: A prime number that divides evenly into another number

Highest Common Factor: The biggest same factor between two or more numbers

Lowest Common Multiple: The lowest number that can be evenly divided by two or more numbers
Prime Numbers
A number that only has two factors, one and itself
What are some examples of Prime Numbers?
How do you know if a number is Prime?
What is the only even Prime Number? Why?
Highest Common Factor
The biggest same factor between two or more numbers
To find the HCF between two numbers we...
1. List out all the factors for both numbers
2. See which is the biggest same factor in both lists!
Lowest Common Multiple
The smallest same multiple between two or more numbers.
To find the LCM between two numbers we...
1. List out multiples for each number (starting with itself)
2. Stop when we see the first same number
Prime Factorization
Each number can be written as a product of its prime factors.
We find Prime Factors in two ways:
1. Factor Trees
2. Division by Primes
Factor Trees
Division by Primes
Classwork!
Classwork!
Common Factors
1, 2, 3, 4, 6, 8, 12, 24,

24 = the biggest common factor
therefore it is the HCF
ex) Find the HCF between 24 and 48

24: 1, 2, 3, 4, 6, 8, 12, 24
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48,
Find the LCM between 3 and 4
3: 3, 6, 9, 12, 15, 18, 21, 24
4: 4, 8, 12, 16, 20, 24

Common Multiples:
12, 24

Smallest multiple = 12
Therefore the LCM between 3 and 4 is 12.
Full transcript