# Is 67 Prime Number or Composite Number

Created by: Team Maths - Examples.com, Last Updated: April 27, 2024

## Is 67 a Prime Number?

### Yes: is a Prime Number

Why Yes: 67 is a prime number because it meets the prime criteria of having exactly two distinct positive divisors: 1 and itself. Use this Prime number Checker to check for any number.

## Is 67 a Composite Number?

### No: is not a Composite Number

Why No: 67 is not a composite number because it does not have more than two distinct positive divisors. It is only divisible by 1 and itself (67).

## Problem Statements

Is 67 a prime number? Yes
Is 67 a composite number? No
Is 67 a perfect square? No
Factors of 67 1, 67
Multiples of 67 67, 134, 201, 268, 335, 402, 469, 536, 603, 670
Cube Root of 67 4.041
Square of 67 4489
Square Root of 67 8.185
Is 67 a Perfect Cube? No
Is 67 an Irrational number No
Is 67 a Rational number Yes
Is 67 a Real number Yes
Is 67 an Integer Yes
Is 67 a Natural number Yes
Is 67 a Whole number Yes
Is 67 an Even or odd number Yes (67 is an odd number)
Is 67 an Ordinal number Yes
Is 67 a Complex number Yes (as all real numbers are also complex numbers)

## What are the factors of 67?

The factors of 67 are 1 and 67. 67 is a prime number because it is only divisible by 1 and itself, demonstrating it has exactly two factors. This distinction confirms that it is a prime number, not a composite number.

## What Kind of Number is 67?

• 67 is categorized as a prime number because it has exactly two distinct positive divisors: 1 and itself.
• Odd number: 67 is classified as one, adding to its uniqueness.
• Significance: 67’s unique properties as a prime number make it significant in various contexts.
• Natural number: 67 belongs to this category, indicating its place within the set of positive integers starting from 1.
• Positive integer: 67 is a positive integer, affirming its position on the number line.
• Discussed in the context of prime numbers rather than composite numbers, distinguishing its exclusive divisibility.
• As an odd number, 67 stands out among integers for not being divisible by 2.
• Classified as a rational number, 67 can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.
• Whole number: 67 is included in this category, highlighting its non-negative nature.
• Distinct position in mathematics: 67’s status as a prime number differentiates it from composite numbers, underlined by its divisibility only by 1 and itself.
• Its roles as an odd number, a prime, and a natural number render 67 noteworthy in mathematical discussions.

## Nearest Prime Number to 67

The nearest prime numbers to 67 are 61 and 71. 61 is the closest prime number less than 67, and 71 is the closest prime number greater than 67

## Is 67 divisible by any other number?

No, 67 is not divisible by any other number except 1 and itself, reinforcing its status as a prime number.

## Is 67 a perfect square?

No, 67 is not a perfect square, as its square root is not an integer.

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