Is 338 a prime number? What are the divisors of 338?

## Parity of 338

338 is an even number, because it is evenly divisible by 2: 338 / 2 = 169.

Find out more:

## Is 338 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 338 is about 18.385.

Thus, the square root of 338 is not an integer, and therefore 338 is not a square number.

## What is the square number of 338?

The square of a number (here 338) is the result of the product of this number (338) by itself (i.e., 338 × 338); the square of 338 is sometimes called "raising 338 to the power 2", or "338 squared".

The square of 338 is 114 244 because 338 × 338 = 3382 = 114 244.

As a consequence, 338 is the square root of 114 244.

## Number of digits of 338

338 is a number with 3 digits.

## What are the multiples of 338?

The multiples of 338 are all integers evenly divisible by 338, that is all numbers such that the remainder of the division by 338 is zero. There are infinitely many multiples of 338. The smallest multiples of 338 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 338). 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 18.385). 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 338

• Preceding numbers: …336, 337
• Following numbers: 339, 340

### Nearest numbers from 338

• Preceding prime number: 337
• Following prime number: 347
Find out whether some integer is a prime number