Is 252 a prime number? What are the divisors of 252?

## Parity of 252

252 is an even number, because it is evenly divisible by 2: 252 / 2 = 126.

Find out more:

## Is 252 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 252 is about 15.875.

Thus, the square root of 252 is not an integer, and therefore 252 is not a square number.

## What is the square number of 252?

The square of a number (here 252) is the result of the product of this number (252) by itself (i.e., 252 × 252); the square of 252 is sometimes called "raising 252 to the power 2", or "252 squared".

The square of 252 is 63 504 because 252 × 252 = 2522 = 63 504.

As a consequence, 252 is the square root of 63 504.

## Number of digits of 252

252 is a number with 3 digits.

## What are the multiples of 252?

The multiples of 252 are all integers evenly divisible by 252, that is all numbers such that the remainder of the division by 252 is zero. There are infinitely many multiples of 252. The smallest multiples of 252 are:

## How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 252). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 15.875). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

## Numbers near 252

• Preceding numbers: …250, 251
• Following numbers: 253, 254

### Nearest numbers from 252

• Preceding prime number: 251
• Following prime number: 257
Find out whether some integer is a prime number