Is 680 a prime number? What are the divisors of 680?

## Parity of 680

680 is an even number, because it is evenly divisible by 2: 680 / 2 = 340.

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## Is 680 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 680 is about 26.077.

Thus, the square root of 680 is not an integer, and therefore 680 is not a square number.

## What is the square number of 680?

The square of a number (here 680) is the result of the product of this number (680) by itself (i.e., 680 × 680); the square of 680 is sometimes called "raising 680 to the power 2", or "680 squared".

The square of 680 is 462 400 because 680 × 680 = 6802 = 462 400.

As a consequence, 680 is the square root of 462 400.

## Number of digits of 680

680 is a number with 3 digits.

## What are the multiples of 680?

The multiples of 680 are all integers evenly divisible by 680, that is all numbers such that the remainder of the division by 680 is zero. There are infinitely many multiples of 680. The smallest multiples of 680 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 680). 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 26.077). 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 680

• Preceding numbers: …678, 679
• Following numbers: 681, 682

### Nearest numbers from 680

• Preceding prime number: 677
• Following prime number: 683
Find out whether some integer is a prime number