Is 71 a prime number? In Mathematics, we can classify a number into different types, such as even numbers, odd numbers, prime numbers, composite numbers and so on. We know that if a number has only two factors, such as one and the number itself, then it is called the prime number. On the other hand, if a number has more than two factors, then we can call it a composite number. In this article, we will discuss whether the number 71 is a prime number or composite number and also learn the interesting facts about the number 71.

Table of Contents:

• Is 71 A Prime Or Composite Number?
• Why Is 71 A Prime Number?
• Is 71 A Perfect Square?
• Is 71 A Perfect Cube?
• Is 71 An Even Or Odd Number?
• Square Root And Cube Root Of 71
• What Are The Multiples Of 71?
• FAQs

Is 71 a Prime or Composite Number?

Yes, 71 is a prime number. By the definition of prime numbers, we can say that the number 71 has only two factors. If 71 is divisible by 1 and 71, it leaves a remainder value as 0. In other words, if 71 is divisible by any numbers other than 1 and 71, it leaves a remainder of some integer value. Hence, the factors of 71 are 1 and 71. Since 71 has exactly two factors, 71 is considered as a prime number.

Why is 71 a Prime Number?

To find whether the given number is prime or composite, it is necessary to find the factors of a number. If a number has exactly two factors, then the given number is a prime number. If a number has more than two factors, then the given number is a composite number.

Thus, the factors of 71 are 1 and 71.

Therefore, we can say that 71 is a prime number as it has only two factors.

Is 71 a Perfect Square?

No, 71 is not a perfect square. We know that the perfect square of a number is a number that is obtained by squaring a whole number. Thus, the number 71 is not a perfect square number as it cannot be expressed as the product of two equal integers.

Is 71 a Perfect Cube?

No, 71 is not a perfect cube. The perfect cube of a number is defined as a number that is expressed as the product of three equal integers. Hence, it is not possible to get a number 71, when three equal integers are multiplied.

For example, if we take the cube of the number 2, we get 2 × 2× 2 = 8.

Similarly, cube of 3 = 3 × 3× 3 = 27

Cube of 4 = 4 × 4× 4 = 64

Cube of 5 = 5 × 5× 5 = 125

Hence, we can say that 71 is not a perfect cube.

Is 71 an Even or Odd Number?

The number 71 is an odd number. We know that even numbers are the numbers that should be a multiple of 2. In other words, if a number is divisible by 2 and it results in the remainder of 0, then it is called an even number. Similarly, if a number is divisible by 2 and leaves a remainder value as 1, then it is called an odd number.

Now, divide the number 71 by 2,

(i.e) 71/2 = Quotient = 35 and Remainder is 1.

Thus, if we divide 71 by 2, it leaves a remainder of 1.

Therefore, 71 is an odd number. We can also say that 71 is not an even number.

Square Root and Cube Root of 71

The square root of 71 is a number, which is multiplied by itself and gives the original number 71.

The square root of 71 is approximately equal to 8.426.

(i.e) √71 = 8.426

The cube root of 71 is a number which when multiplied by itself three times gives the result as 71.

The cube root of 71 is approximately equal to 4.141.

(i.e) ³√71 = 4.141

What are the Multiples of 71?

The multiples of 71 are the numbers that are obtained by multiplying the number 71 by different whole numbers. The first ten multiples of 71 are given as follows:

Multiples of 71: 71, 142, 213, 284, 355, 426, 497, 568, 639, 710.