# Is 52 a Prime Number or Composite Number

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

## Is 52 a Prime Number?

### No – 52 is not a prime number.

Why No: 52 is not a prime number because it does not meet the prime criteria of having exactly two distinct positive divisors: 1 and itself. Instead, 52 has divisors 1, 2, 4, 13, 26, and 52.

## Is 52 a Composite Number?

### YES – 52 is a Composite Number

Why Yes: 52 is a composite number because it has more than two distinct positive divisors. It has several divisors: 1, 2, 4, 13, 26, and itself (52).

## Problem Statements

Is 52 a prime number? No
Is 52 a composite number? Yes
Is 52 a perfect square? No
Factors of 52 1, 2, 4, 13, 26, 52
Multiples of 52 52, 104, 156, 208, 260, 312, 364, 416, 468, 520
Cube Root of 52 Not a whole number
Square of 52 2704
Square Root of 52 Not a whole number (Approximately 7.211)
Is 52 a Perfect Cube? No
Is 52 an Irrational number No
Is 52 a Rational number Yes
Is 52 a Real number Yes
Is 52 an Integer Yes
Is 52 a Natural number Yes
Is 52 a Whole number Yes
Is 52 an Even or odd number Yes (52 is an even number)
Is 52 an Ordinal number Yes
Is 52 a Complex number Yes (as all real numbers are also complex numbers)

## What are the Factors of 52?

The factors of 52, which are the numbers that evenly divide into it without leaving a remainder, include 1, 2, 4, 13, 26, and 52 itself.

## What Kind of Number is 52?

• 52 is not a prime number, but a composite number.
• 52 is one of the even composite numbers.
• 52 might not have the same widespread cultural or spiritual significance as some numbers, but it holds its place in mathematical contexts.
• A natural number.
• A positive integer.
• A composite number.
• An even number.
• A rational number.
• A whole number.

52 is recognized not as a prime number but as a composite number because it has divisors other than 1 and itself, specifically 1, 2, 4, 13, 26, and 52. This distinguishes it from prime numbers, which have exactly two distinct positive divisors. While the number 52 may not be as frequently associated with harmony or spiritual significance in various cultures as some numbers, it serves as a reminder of the diversity and utility of numbers in mathematics. Its status as a composite and even number underscores the variety of numerical properties and their applications in different fields, highlighting the integral role of mathematics in understanding the world around us.

## Nearest Prime Number of 52

The nearest prime numbers to 52 are 53, which is just one number greater, and 47, which is five numbers less. Among these, 53 is the closest prime number to 52.

## Prime Factors of 52?

The prime factors of 52, which break it down to its basic prime number multipliers, are 2, repeated twice (squared), and 13, highlighting its fundamental prime components.

## Is 52 a perfect square?

No, 52 is not a perfect square. A perfect square is a number that can be expressed as the product of an integer with itself, and 52 does not meet this criterion.

## Factors of 52 in pairs?

The factor pairs of 52, representing two numbers multiplied to get 52, are (1, 52), (2, 26), and (4, 13), showcasing the combinations of its divisible counterparts.

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