Is 259 a prime number? What are the divisors of 259?

## Parity of 259

259 is an odd number, because it is not evenly divisible by 2.

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## Is 259 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 259 is about 16.093.

Thus, the square root of 259 is not an integer, and therefore 259 is not a square number.

## What is the square number of 259?

The square of a number (here 259) is the result of the product of this number (259) by itself (i.e., 259 × 259); the square of 259 is sometimes called "raising 259 to the power 2", or "259 squared".

The square of 259 is 67 081 because 259 × 259 = 2592 = 67 081.

As a consequence, 259 is the square root of 67 081.

## Number of digits of 259

259 is a number with 3 digits.

## What are the multiples of 259?

The multiples of 259 are all integers evenly divisible by 259, that is all numbers such that the remainder of the division by 259 is zero. There are infinitely many multiples of 259. The smallest multiples of 259 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 259). 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 16.093). 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 259

• Preceding numbers: …257, 258
• Following numbers: 260, 261

### Nearest numbers from 259

• Preceding prime number: 257
• Following prime number: 263
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