Is 559 a prime number? What are the divisors of 559?

## Parity of 559

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

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## Is 559 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 559 is about 23.643.

Thus, the square root of 559 is not an integer, and therefore 559 is not a square number.

## What is the square number of 559?

The square of a number (here 559) is the result of the product of this number (559) by itself (i.e., 559 × 559); the square of 559 is sometimes called "raising 559 to the power 2", or "559 squared".

The square of 559 is 312 481 because 559 × 559 = 5592 = 312 481.

As a consequence, 559 is the square root of 312 481.

## Number of digits of 559

559 is a number with 3 digits.

## What are the multiples of 559?

The multiples of 559 are all integers evenly divisible by 559, that is all numbers such that the remainder of the division by 559 is zero. There are infinitely many multiples of 559. The smallest multiples of 559 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 559). 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 23.643). 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 559

• Preceding numbers: …557, 558
• Following numbers: 560, 561

### Nearest numbers from 559

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