Download Notes 1.6 – Exponents and Prime Factorization

Notes 1.6 – Exponents and
Prime Factorization
Powers and Exponents
When two or more numbers are multiplied, each
number is called a __________
FACTOR of the product.
For 2 x 3 x 6 = 36, ____,
2 3, and ____
6 are the
factors of the product, 36.
A special case results when the same factor is
repeated.
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You can use an ___________
EXPONENT to simplify the
notation.
An ___________
EXPONENT tells how many times a number,
called the _______
BASE is used as a factor.
EXPONENT
34 = 3 x 3 x 3 x 3
BASE
4 FACTORS
A _________
POWER is a number that is expressed using
exponents.
Symbols
Words
Value
62
6 to the second power or 6 SQUARED
6 ____
6  ____
36
73
7 to the third power or 7 CUBED
7  7  7=343
84
8 to the fourth power
8888  4096
51
5 to the first power
5
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Prime Factorization of a Number
To _________
FACTOR a number means to write it as a
product of two or more natural numbers.
The factors of 42 are:
1,2,3,6,7,14,21,42
________
PRIME ________________is
FACTORIZATION a process of writing
a natural number as a _______
product of only _______
prime
numbers.
Making a Prime Factor Tree
Step 1: Divide the number by the smallest prime
number possible.
Step 2: Circle the prime(s).
Step 3: Continue until all the branches end with a
prime number.
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Examples:
1) Write the prime factorization of 42:
42
2
21
3
42 =
7
2 3 7
2) Write the prime factorization of 120:
120
2
60
30
2
2
15
3
120=
5
2 2 2 3 5  23 3 5
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