Is 565 a prime number? What are the divisors of 565?

## Parity of 565

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

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## Is 565 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 565 is about 23.770.

Thus, the square root of 565 is not an integer, and therefore 565 is not a square number.

## What is the square number of 565?

The square of a number (here 565) is the result of the product of this number (565) by itself (i.e., 565 × 565); the square of 565 is sometimes called "raising 565 to the power 2", or "565 squared".

The square of 565 is 319 225 because 565 × 565 = 5652 = 319 225.

As a consequence, 565 is the square root of 319 225.

## Number of digits of 565

565 is a number with 3 digits.

## What are the multiples of 565?

The multiples of 565 are all integers evenly divisible by 565, that is all numbers such that the remainder of the division by 565 is zero. There are infinitely many multiples of 565. The smallest multiples of 565 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 565). 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 23.770). 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 565

• Preceding numbers: …563, 564
• Following numbers: 566, 567

### Nearest numbers from 565

• Preceding prime number: 563
• Following prime number: 569
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