Is 500 a prime number? What are the divisors of 500?

## Parity of 500

500 is an even number, because it is evenly divisible by 2: 500 / 2 = 250.

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## Is 500 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 500 is about 22.361.

Thus, the square root of 500 is not an integer, and therefore 500 is not a square number.

## What is the square number of 500?

The square of a number (here 500) is the result of the product of this number (500) by itself (i.e., 500 × 500); the square of 500 is sometimes called "raising 500 to the power 2", or "500 squared".

The square of 500 is 250 000 because 500 × 500 = 5002 = 250 000.

As a consequence, 500 is the square root of 250 000.

## Number of digits of 500

500 is a number with 3 digits.

## What are the multiples of 500?

The multiples of 500 are all integers evenly divisible by 500, that is all numbers such that the remainder of the division by 500 is zero. There are infinitely many multiples of 500. The smallest multiples of 500 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 500). 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 22.361). 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 500

• Preceding numbers: …498, 499
• Following numbers: 501, 502

### Nearest numbers from 500

• Preceding prime number: 499
• Following prime number: 503
Find out whether some integer is a prime number