Download Factors and Multiples of Whole Numbers

Factors and Multiples
of
Whole Numbers
Math 10
Ms. McGrath
Important terms – Recall
Power
An expression in the form a^n, where a is
the base and n is the exponent; it
represents a product of equal factors.
Example: 4 x 4 x 4 can be written 4^3.
Important terms – Recall
Factor
To factor means to write as a product.
Example: 20 = 2 x 2 x 5
Important terms – Recall
Multiples
The product of a given number and a
natural number.
Example: some multiples of 8 are 8, 16, 24
Important terms – Recall
Prime number
A whole number with exactly two factors,
itself and 1.
Example: 2, 3, 5, 7, 11, 17, 19, 29, 31
and 43
Important terms – Recall
Prime factorization
Is a natural number written as a product of
its prime factors.
Prime factorization
Write the prime factorization of 3300.
Prime factorization
Now you try 2646.
Important terms – Recall
Greatest common factor
Of two or more numbers is the greatest
factor the numbers have in common.
Example: 5 is the GCF of 10 and 15
Greatest common factor
Determine the greatest common factor
of 138 and 198.
Greatest common factor
Now you try 126 and 144.
Important terms – Recall
Least common multiple
Is the least number that is divisible by
each number.
Example: the LCM of 12 and 21 is 84
Least common multiple
Determine the least common multiple of
18, 20, 30.
Least common multiple
Now you try 28, 42 and 63.
Practice
You try: page 140 #3 – 13
When complete see Example 4 on page 138