Is 5 a prime number? Prime numbers are natural numbers greater than 1 that have exactly two distinct positive divisors. The answer is clear: "5 is a prime number." In fact, it's the third prime number and part of the first twin prime pair. Let's examine why this is the case.
- Is 5 a prime number? - Yes
- Is 5 a composite number? - No
- Is 5 a perfect square? - No
- Prime Factors of 5 - 5
- Factors of 5 - 1, 5
Is 5 a Prime or Composite Number?
Is 5 a Prime Number?
Yes, 5 is definitely a prime number. It satisfies all the requirements for primality:
- It is a natural number greater than 1
- It has exactly two distinct positive divisors (1 and 5)
- It cannot be expressed as a product of two smaller natural numbers
Why is 5 a Prime Number?
5 holds several special positions in mathematics:
- It's the third prime number (after 2 and 3)
- It's part of the first twin prime pair (with 3)
- It's a Fermat prime (2^(2^1)+1 = 5)
- It's a Wilson prime (5 divides (5-1)! + 1)
- It's the smallest safe prime (where (p-1)/2 is also prime)
Is 5 a Composite Number?
No, 5 is not a composite number. Composite numbers have more than two distinct positive divisors. Since 5 has exactly two divisors, it cannot be composite.
Problem Statements:
| Property | Answer |
|---|---|
| Is 5 a Prime Number? | Yes |
| Is 5 a Composite Number? | No |
| Is 5 a Perfect Square? | No |
| Is 5 an Even Number? | No |
| Multiples of 5 | 5, 10, 15, 20, 25, 30, 35, 40, 45, 50,... |
| Square Root of 5 | ≈2.23607 |
| Square of 5 | 25 |
| Is 5 a Perfect Cube? | No |
| Cube Root of 5 | ≈1.70998 |
| Is 5 an Odd Number? | Yes |
Fun Facts:
- 5 is the hypotenuse of the smallest Pythagorean triple (3-4-5 triangle)
- It's the only prime number that ends with the digit 5 in base 10
- 5 is the number of Platonic solids (regular polyhedrons)
- In biology, most starfish have five arms (pentaradial symmetry)
- 5 is atomic number of boron (B) on the periodic table
- Humans typically have five fingers on each hand
- 5 is central to the golden ratio (φ = (1+√5)/2 ≈ 1.618)