Is 264 a prime number? What are the divisors of 264?

## Parity of 264

264 is an even number, because it is evenly divisible by 2: 264 / 2 = 132.

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## Is 264 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 264 is about 16.248.

Thus, the square root of 264 is not an integer, and therefore 264 is not a square number.

## What is the square number of 264?

The square of a number (here 264) is the result of the product of this number (264) by itself (i.e., 264 × 264); the square of 264 is sometimes called "raising 264 to the power 2", or "264 squared".

The square of 264 is 69 696 because 264 × 264 = 2642 = 69 696.

As a consequence, 264 is the square root of 69 696.

## Number of digits of 264

264 is a number with 3 digits.

## What are the multiples of 264?

The multiples of 264 are all integers evenly divisible by 264, that is all numbers such that the remainder of the division by 264 is zero. There are infinitely many multiples of 264. The smallest multiples of 264 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 264). 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 16.248). 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 264

• Preceding numbers: …262, 263
• Following numbers: 265, 266

### Nearest numbers from 264

• Preceding prime number: 263
• Following prime number: 269
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