Is 678 a prime number? What are the divisors of 678?

## Parity of 678

678 is an even number, because it is evenly divisible by 2: 678 / 2 = 339.

Find out more:

## Is 678 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 678 is about 26.038.

Thus, the square root of 678 is not an integer, and therefore 678 is not a square number.

## What is the square number of 678?

The square of a number (here 678) is the result of the product of this number (678) by itself (i.e., 678 × 678); the square of 678 is sometimes called "raising 678 to the power 2", or "678 squared".

The square of 678 is 459 684 because 678 × 678 = 6782 = 459 684.

As a consequence, 678 is the square root of 459 684.

## Number of digits of 678

678 is a number with 3 digits.

## What are the multiples of 678?

The multiples of 678 are all integers evenly divisible by 678, that is all numbers such that the remainder of the division by 678 is zero. There are infinitely many multiples of 678. The smallest multiples of 678 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 678). 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 26.038). 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 678

• Preceding numbers: …676, 677
• Following numbers: 679, 680

### Nearest numbers from 678

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