Composite Numbers Math Example 3

Follow the full solution, then compare it with the other examples linked below.

easy

1

composite? Is

4

composite? Is

2

composite? Explain each briefly.

1
$1$ : has only one factor ( $1$ itself). By definition, $1$ is neither prime nor composite.
2
$4$ : factors are $1, 2, 4$ . Since it has a factor ( $2$ ) other than $1$ and itself, $4$ is composite.
3
$2$ : factors are $1$ and $2$ only. No factors other than $1$ and itself, so $2$ is prime (not composite).

Answer

1

: neither;

4

: composite;

2

: prime.

The definitions: prime has exactly two distinct factors (

1

and itself); composite has more than two factors;

1

is special — it has only one factor and fits neither category. These edge cases are essential to know precisely.

About Composite Numbers

Integers greater than 1 that can be expressed as a product of two smaller positive integers; they are the opposite of primes.

Determine whether [formula] is prime or composite. If composite, find a factor pair.

List all composite numbers between [formula] and [formula], and for each, give one non-trivial facto

How many composite numbers are there from [formula] to [formula]? List them and explain why each is