Is 728 a prime number? What are the divisors of 728?

## Parity of 728

728 is an even number, because it is evenly divisible by 2: 728 / 2 = 364.

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## Is 728 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 728 is about 26.981.

Thus, the square root of 728 is not an integer, and therefore 728 is not a square number.

## What is the square number of 728?

The square of a number (here 728) is the result of the product of this number (728) by itself (i.e., 728 × 728); the square of 728 is sometimes called "raising 728 to the power 2", or "728 squared".

The square of 728 is 529 984 because 728 × 728 = 7282 = 529 984.

As a consequence, 728 is the square root of 529 984.

## Number of digits of 728

728 is a number with 3 digits.

## What are the multiples of 728?

The multiples of 728 are all integers evenly divisible by 728, that is all numbers such that the remainder of the division by 728 is zero. There are infinitely many multiples of 728. The smallest multiples of 728 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 728). 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 26.981). 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 728

• Preceding numbers: …726, 727
• Following numbers: 729, 730

### Nearest numbers from 728

• Preceding prime number: 727
• Following prime number: 733
Find out whether some integer is a prime number