Is 668 a prime number? What are the divisors of 668?

## Parity of 668

668 is an even number, because it is evenly divisible by 2: 668 / 2 = 334.

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## Is 668 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 668 is about 25.846.

Thus, the square root of 668 is not an integer, and therefore 668 is not a square number.

## What is the square number of 668?

The square of a number (here 668) is the result of the product of this number (668) by itself (i.e., 668 × 668); the square of 668 is sometimes called "raising 668 to the power 2", or "668 squared".

The square of 668 is 446 224 because 668 × 668 = 6682 = 446 224.

As a consequence, 668 is the square root of 446 224.

## Number of digits of 668

668 is a number with 3 digits.

## What are the multiples of 668?

The multiples of 668 are all integers evenly divisible by 668, that is all numbers such that the remainder of the division by 668 is zero. There are infinitely many multiples of 668. The smallest multiples of 668 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 668). 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 25.846). 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 668

• Preceding numbers: …666, 667
• Following numbers: 669, 670

### Nearest numbers from 668

• Preceding prime number: 661
• Following prime number: 673
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