# Is 61 a Prime Number or Composite Number

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

## Is 61 a Prime Number?

### Yes – 61 is a prime number.

Why Yes: 61 is a prime number because it meets the prime criteria of having exactly two distinct positive divisors: 1 and itself. The only divisors of 61 are 1 and 61, making it a prime number. See any number if it’s prime number or not

## Is 61 a Composite Number?

### NO – 61 is not a Composite Number.

Why No: 61 is not a composite number because it does not have more than two distinct positive divisors. It has exactly two divisors: 1 and itself (61), making it a prime number, not a composite one.

## Problem Statements

Is 61 a prime number? Yes
Is 61 a composite number? No
Is 61 a perfect square? No
Factors of 61 1, 61
Multiples of 61 61, 122, 183, 244, 305, 366, 427, 488, 549, 610
Cube Root of 61 Not a whole number
Square of 61 3721
Square Root of 61 7.810
Is 61 a Perfect Cube? No
Is 61 an Irrational number No
Is 61 a Rational number Yes
Is 61 a Real number Yes
Is 61 an Integer Yes
Is 61 a Natural number Yes
Is 61 a Whole number Yes
Is 61 an Even or odd number No (61 is an odd number)
Is 61 an Ordinal number Yes
Is 61 a Complex number Yes (as all real numbers are also complex numbers)

## What are the Factors of 61?

The factors of 61 are 1 and 61. This is because 61 is a prime number, meaning it only has two distinct positive divisors: itself and 1.

## What Kind of Number is 61?

• 61 is a prime number, not a composite number.
• 61 stands out as one of the prime numbers.
• While 61 might not hold the widespread cultural or spiritual significance as some numbers, it has its unique place in mathematical contexts.
• A natural number.
• A positive integer.
• A prime number.
• An odd number.
• A rational number.
• A whole number.

61 is recognized as a prime number because it has exactly two distinct positive divisors: 1 and itself, specifically 1 and 61. This distinguishes it from composite numbers, which have more than two divisors. Although the number 61 may not be as widely associated with harmony or spiritual significance in various cultures as some numbers, it serves as a reminder of the diversity and significance of numbers in mathematics. Its status as a prime and odd number underscores the variety of numerical properties and their applications in different fields, highlighting the integral role of mathematics in exploring and understanding the world around us.

## Nearest Prime Number of 61

The nearest prime numbers to 61 are 59 and 67. 59 is the prime number just before 61, and 67 is the prime number just after 61.

## What is the fastest way to find a prime number?

The fastest method to find prime numbers depends on size; for small numbers, the Sieve of Eratosthenes is efficient, while the Miller-Rabin test is better for large numbers, offering quick probabilistic assessments.

## Is 61 a perfect square?

No, 61 is not a perfect square. A perfect square is an integer that is the square of an integer, and there is no integer whose square equals 61.

## Prime Factors of 61?

The prime factors of 61 are simply 61 itself, because 61 is a prime number. A prime number has no prime factors other than itself and 1.

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