Is 557 a prime number? What are the divisors of 557?

## Parity of 557

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

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## Is 557 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 557 is about 23.601.

Thus, the square root of 557 is not an integer, and therefore 557 is not a square number.

Anyway, 557 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 557?

The square of a number (here 557) is the result of the product of this number (557) by itself (i.e., 557 × 557); the square of 557 is sometimes called "raising 557 to the power 2", or "557 squared".

The square of 557 is 310 249 because 557 × 557 = 5572 = 310 249.

As a consequence, 557 is the square root of 310 249.

## Number of digits of 557

557 is a number with 3 digits.

## What are the multiples of 557?

The multiples of 557 are all integers evenly divisible by 557, that is all numbers such that the remainder of the division by 557 is zero. There are infinitely many multiples of 557. The smallest multiples of 557 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 557). 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 23.601). 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 557

• Preceding numbers: …555, 556
• Following numbers: 558, 559

### Nearest numbers from 557

• Preceding prime number: 547
• Following prime number: 563
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