Is 772 a prime number? What are the divisors of 772?

## Parity of 772

772 is an even number, because it is evenly divisible by 2: 772 / 2 = 386.

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## Is 772 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 772 is about 27.785.

Thus, the square root of 772 is not an integer, and therefore 772 is not a square number.

## What is the square number of 772?

The square of a number (here 772) is the result of the product of this number (772) by itself (i.e., 772 × 772); the square of 772 is sometimes called "raising 772 to the power 2", or "772 squared".

The square of 772 is 595 984 because 772 × 772 = 7722 = 595 984.

As a consequence, 772 is the square root of 595 984.

## Number of digits of 772

772 is a number with 3 digits.

## What are the multiples of 772?

The multiples of 772 are all integers evenly divisible by 772, that is all numbers such that the remainder of the division by 772 is zero. There are infinitely many multiples of 772. The smallest multiples of 772 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 772). 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 27.785). 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 772

• Preceding numbers: …770, 771
• Following numbers: 773, 774

### Nearest numbers from 772

• Preceding prime number: 769
• Following prime number: 773
Find out whether some integer is a prime number