Is 262 a prime number? What are the divisors of 262?

## Parity of 262

262 is an even number, because it is evenly divisible by 2: 262 / 2 = 131.

Find out more:

## Is 262 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 262 is about 16.186.

Thus, the square root of 262 is not an integer, and therefore 262 is not a square number.

## What is the square number of 262?

The square of a number (here 262) is the result of the product of this number (262) by itself (i.e., 262 × 262); the square of 262 is sometimes called "raising 262 to the power 2", or "262 squared".

The square of 262 is 68 644 because 262 × 262 = 2622 = 68 644.

As a consequence, 262 is the square root of 68 644.

## Number of digits of 262

262 is a number with 3 digits.

## What are the multiples of 262?

The multiples of 262 are all integers evenly divisible by 262, that is all numbers such that the remainder of the division by 262 is zero. There are infinitely many multiples of 262. The smallest multiples of 262 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 262). 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 16.186). 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 262

• Preceding numbers: …260, 261
• Following numbers: 263, 264

### Nearest numbers from 262

• Preceding prime number: 257
• Following prime number: 263
Find out whether some integer is a prime number