# Is 71 Prime Number or Composite Number

Created by: Team Maths - Examples.com, Last Updated: May 7, 2024

## Is 71 a Prime Number?

### Yes – 71 is a Prime Number.

Why Yes: 71 is a prime number because it meets the prime criteria of having exactly two distinct positive divisors: 1 and itself. See any number if it’s prime number or not

## Is 71 a Composite Number?

### No – 71 is not a Composite Number.

Why No: 71 is not a composite number because it does not have more than two distinct positive divisors. It is only divisible by 1 and itself (71).

## Problem Statements

Property Answer
Is 71 a prime number? Yes
Is 71 a composite number? No
Is 71 a perfect square? No
Factors of 71 1, 71
Multiples of 71 71, 142, 213, 284, 355, 426, 497, 568, 639, 710
Cube Root of 71 4.129
Square of 71 5041
Square Root of 71 8.426
Is 71 a Perfect Cube? No
Is 71 an Irrational number No
Is 71 a Rational number Yes
Is 71 a Real number Yes
Is 71 an Integer Yes
Is 71 a Natural number Yes
Is 71 a Whole number Yes
Is 71 an Even or odd number Yes (71 is an odd number)
Is 71 an Ordinal number Yes
Is 71 a Complex number Yes (as all real numbers are also complex numbers)

## What are the factors of 71?

The factors of 71 are 1 and 71. 71 is a prime number because it is only divisible by 1 and itself, demonstrating it has exactly two factors. This clarity confirms that it is a prime number, not a composite number.

## What Kind of Number is 71?

• 71 is categorized as a prime number because it has exactly two distinct positive divisors: 1 and itself.
• 71 is one of the odd numbers; it is an odd number.
• 71 holds significance in various contexts, potentially for its unique properties as a prime number.
• 71 is a natural number.
• 71 is a positive integer.
• 71 is discussed in the context of prime numbers rather than composite numbers.
• 71 is an odd number.
• 71 is a rational number.
• 71 is a whole number.

71, as a prime number, occupies a distinguished position in mathematics, contrasting with composite numbers. Being divisible only by 1 and itself, 71’s status as a prime number underscores its uniqueness. Its properties as an odd number, a prime, and a natural number make it a noteworthy figure in mathematical discussions.

## Nearest Prime Number of 71

The nearest prime numbers to 71 are 67 and 73. 67 is the closest prime number less than 71, and 73 is the closest prime number greater than 71.

## Is 71 divisible by any number?

71 is divisible by only two numbers: 1 and itself (71). Being a prime number, it does not have other divisors, which highlights its prime nature.

## Prime Factors of 71?

The prime factors of 71 are simply 1 and 71. As a prime number, 71 is only divisible by these two numbers, indicating it has no other prime factors.

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