# Is 17 a Prime Number or Composite Number

Created by: Team Maths - Examples.com, Last Updated: May 10, 2024

## Is 17 a Prime Number?

### Yes – 17 is a prime number.

Why Yes: 17 is a prime number because it meets the prime criteria of having exactly two distinct positive divisors: 1 and itself. Instead of having multiple divisors like 16, 17 only has divisors 1 and 17. See any number if it’s prime number or not

## Is 17 a Composite Number?

### No – 17 is not a Composite Number

Why No: 17 is not a composite number because it does not have more than two distinct positive divisors. Instead, 17 only has two divisors: 1 and itself (17).

## Problem Statements

Is 17 a prime number? Yes
Is 17 a composite number? No
Is 17 a perfect square? No
Factors of 17 1, 17
Multiples of 17 17, 34, 51, 68, 85, 102, 119, 136, 153, 170
Cube Root of 17 Not a whole number
Square of 17 289
Square Root of 17 approximately 4.123
Is 17 a Perfect Square? No
Is 17 a Perfect Cube? No
Is 17 an Irrational number No
Is 17 a Rational number Yes
Is 17 a Real number Yes
Is 17 an Integer Yes
Is 17 a Natural number Yes
Is 17 a Whole number Yes
Is 17 an Even or odd number No (17 is an odd number)
Is 17 an Ordinal number Yes
Is 17 a Complex number Yes (as all real numbers are also complex numbers)

## What are the Factors of 17?

The factors of 17 are 1 and 17. These are the only numbers that divide 17 without leaving a remainder, which also indicates that 17 is a prime number.

## What Kind of Number is 17?

• 17 is a prime number, not a composite number.
• 17 does not fall into the category of even numbers; it is odd.
• 17 carries significance in various cultures, often associated with good fortune.
• A natural number.
• A positive integer.
• A prime number.
• An odd number.
• A rational number.
• A whole number.

17 is recognized as a prime number because it has exactly two distinct positive divisors: 1 and itself, specifically 1 and 17. This distinguishes it from composite numbers, which have more than two divisors. The number 17, while it may not have the same level of universal cultural symbolism as some numbers, holds its own unique significance in specific contexts. Being a prime number highlights the distinct mathematical properties of 17 and its role in the structure of numbers, underlining the deep connections between mathematics, culture, and natural phenomena.

## Prime Factors of 17 ?

The prime factor of 17 is 17 itself. Since 17 is a prime number, it does not have any prime factors other than 1 and itself. Prime numbers are those that have exactly two distinct positive divisors: 1 and the number itself.

## Is 17 a perfect square?

No, 17 is not a perfect square. A perfect square is a number that can be expressed as the square of an integer. Since there is no integer whose square equals 17, it cannot be considered a perfect square.

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