Is 562 a prime number? What are the divisors of 562?

## Parity of 562

562 is an even number, because it is evenly divisible by 2: 562 / 2 = 281.

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## Is 562 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 562 is about 23.707.

Thus, the square root of 562 is not an integer, and therefore 562 is not a square number.

## What is the square number of 562?

The square of a number (here 562) is the result of the product of this number (562) by itself (i.e., 562 × 562); the square of 562 is sometimes called "raising 562 to the power 2", or "562 squared".

The square of 562 is 315 844 because 562 × 562 = 5622 = 315 844.

As a consequence, 562 is the square root of 315 844.

## Number of digits of 562

562 is a number with 3 digits.

## What are the multiples of 562?

The multiples of 562 are all integers evenly divisible by 562, that is all numbers such that the remainder of the division by 562 is zero. There are infinitely many multiples of 562. The smallest multiples of 562 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 562). 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 23.707). 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 562

• Preceding numbers: …560, 561
• Following numbers: 563, 564

### Nearest numbers from 562

• Preceding prime number: 557
• Following prime number: 563
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