Is 516 a prime number? What are the divisors of 516?

## Parity of 516

516 is an even number, because it is evenly divisible by 2: 516 / 2 = 258.

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## Is 516 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 516 is about 22.716.

Thus, the square root of 516 is not an integer, and therefore 516 is not a square number.

## What is the square number of 516?

The square of a number (here 516) is the result of the product of this number (516) by itself (i.e., 516 × 516); the square of 516 is sometimes called "raising 516 to the power 2", or "516 squared".

The square of 516 is 266 256 because 516 × 516 = 5162 = 266 256.

As a consequence, 516 is the square root of 266 256.

## Number of digits of 516

516 is a number with 3 digits.

## What are the multiples of 516?

The multiples of 516 are all integers evenly divisible by 516, that is all numbers such that the remainder of the division by 516 is zero. There are infinitely many multiples of 516. The smallest multiples of 516 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 516). 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 22.716). 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 516

• Preceding numbers: …514, 515
• Following numbers: 517, 518

### Nearest numbers from 516

• Preceding prime number: 509
• Following prime number: 521
Find out whether some integer is a prime number