Is 258 a prime number? What are the divisors of 258?

## Parity of 258

258 is an even number, because it is evenly divisible by 2: 258 / 2 = 129.

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## Is 258 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 258 is about 16.062.

Thus, the square root of 258 is not an integer, and therefore 258 is not a square number.

## What is the square number of 258?

The square of a number (here 258) is the result of the product of this number (258) by itself (i.e., 258 × 258); the square of 258 is sometimes called "raising 258 to the power 2", or "258 squared".

The square of 258 is 66 564 because 258 × 258 = 2582 = 66 564.

As a consequence, 258 is the square root of 66 564.

## Number of digits of 258

258 is a number with 3 digits.

## What are the multiples of 258?

The multiples of 258 are all integers evenly divisible by 258, that is all numbers such that the remainder of the division by 258 is zero. There are infinitely many multiples of 258. The smallest multiples of 258 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 258). 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 16.062). 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 258

• Preceding numbers: …256, 257
• Following numbers: 259, 260

### Nearest numbers from 258

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