Is 345 a prime number? What are the divisors of 345?

## Parity of 345

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

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## Is 345 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 345 is about 18.574.

Thus, the square root of 345 is not an integer, and therefore 345 is not a square number.

## What is the square number of 345?

The square of a number (here 345) is the result of the product of this number (345) by itself (i.e., 345 × 345); the square of 345 is sometimes called "raising 345 to the power 2", or "345 squared".

The square of 345 is 119 025 because 345 × 345 = 3452 = 119 025.

As a consequence, 345 is the square root of 119 025.

## Number of digits of 345

345 is a number with 3 digits.

## What are the multiples of 345?

The multiples of 345 are all integers evenly divisible by 345, that is all numbers such that the remainder of the division by 345 is zero. There are infinitely many multiples of 345. The smallest multiples of 345 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 345). 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 18.574). 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 345

• Preceding numbers: …343, 344
• Following numbers: 346, 347

### Nearest numbers from 345

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