Is 580 a prime number? What are the divisors of 580?

## Parity of 580

580 is an even number, because it is evenly divisible by 2: 580 / 2 = 290.

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## Is 580 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 580 is about 24.083.

Thus, the square root of 580 is not an integer, and therefore 580 is not a square number.

## What is the square number of 580?

The square of a number (here 580) is the result of the product of this number (580) by itself (i.e., 580 × 580); the square of 580 is sometimes called "raising 580 to the power 2", or "580 squared".

The square of 580 is 336 400 because 580 × 580 = 5802 = 336 400.

As a consequence, 580 is the square root of 336 400.

## Number of digits of 580

580 is a number with 3 digits.

## What are the multiples of 580?

The multiples of 580 are all integers evenly divisible by 580, that is all numbers such that the remainder of the division by 580 is zero. There are infinitely many multiples of 580. The smallest multiples of 580 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 580). 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 24.083). 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 580

• Preceding numbers: …578, 579
• Following numbers: 581, 582

### Nearest numbers from 580

• Preceding prime number: 577
• Following prime number: 587
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