Is 768 a prime number? What are the divisors of 768?

## Parity of 768

768 is an even number, because it is evenly divisible by 2: 768 / 2 = 384.

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## Is 768 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 768 is about 27.713.

Thus, the square root of 768 is not an integer, and therefore 768 is not a square number.

## What is the square number of 768?

The square of a number (here 768) is the result of the product of this number (768) by itself (i.e., 768 × 768); the square of 768 is sometimes called "raising 768 to the power 2", or "768 squared".

The square of 768 is 589 824 because 768 × 768 = 7682 = 589 824.

As a consequence, 768 is the square root of 589 824.

## Number of digits of 768

768 is a number with 3 digits.

## What are the multiples of 768?

The multiples of 768 are all integers evenly divisible by 768, that is all numbers such that the remainder of the division by 768 is zero. There are infinitely many multiples of 768. The smallest multiples of 768 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 768). 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 27.713). 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 768

• Preceding numbers: …766, 767
• Following numbers: 769, 770

### Nearest numbers from 768

• Preceding prime number: 761
• Following prime number: 769
Find out whether some integer is a prime number