Prime and Composite Numbers
"Prime Numbers and Composite Numbers"
A prime number is defined as a number that has precisely two distinct divisors: 1 and the number itself.
Conversely, a composite number is characterized by having more than two divisors meaning it can be divided by
1. 1,
2. itself,
3. at least one other positive integer.
The number 1 is neither a prime nor a composite number.
Prime Numbers A prime number is one that has only two factors, specifically 1 and the number itself. However, it is important to note that 1 is not considered a prime number.
Example of a Prime Number Take the number 3 as an example; it is a prime number because it is divisible only by 1 and 3.
- 3/1 = 3
- 3/3 = 1
Similarly, the numbers 2, 5, 7, 11, 13 and 17 are also prime numbers.
Composite Numbers A composite number is one that has more than two factors implying it can be divided by 1, itself and at least one additional number. The number 1 is not classified as a composite number.
Example of a Composite Number Consider the number 12; it is a composite number because it has multiple divisors: 1, 2, 3, 4, 6 and 12.
- 12/1 = 12
- 12/2 = 6
- 12/3 = 4
- 12/4 = 3
- 12/6 = 2
- 12/12 = 1
Open the infographic below to go through further examples to get a better understanding. It also has a chart of numbers colored as prime or composite from 1 to 100.
Watch the video below and label the numbers and prime or composite as you do. Also check the option with the correct reason for the number being prime or composite.
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