Number Theory: Properties of Integers
Our integers for today:
360
24
50
75
40
48
100
121
144
16
1024
60
28
51
Prime Number Trees
Definition: A prime number is a positive integer that has exactly two factors – itself and 1.
The lowest prime number is 2. Why is 1 not considered a prime number?
Every integer is either prime or not prime. If it is not prime, it can be expressed as a product of primes.
Eg. 18 is not prime.
.
List all the prime numbers up to 50:
Example 1: Prime number tree for 60
Example 2: Prime number tree for 28
Example 3: Prime number tree for 51
Exercise1: Draw prime number trees for
24
50
40
75
48
100
360
16
144
1024