Is 744 a prime number? What are the divisors of 744?

## Parity of 744

744 is an even number, because it is evenly divisible by 2: 744 / 2 = 372.

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## Is 744 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 744 is about 27.276.

Thus, the square root of 744 is not an integer, and therefore 744 is not a square number.

## What is the square number of 744?

The square of a number (here 744) is the result of the product of this number (744) by itself (i.e., 744 × 744); the square of 744 is sometimes called "raising 744 to the power 2", or "744 squared".

The square of 744 is 553 536 because 744 × 744 = 7442 = 553 536.

As a consequence, 744 is the square root of 553 536.

## Number of digits of 744

744 is a number with 3 digits.

## What are the multiples of 744?

The multiples of 744 are all integers evenly divisible by 744, that is all numbers such that the remainder of the division by 744 is zero. There are infinitely many multiples of 744. The smallest multiples of 744 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 744). 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 27.276). 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 744

• Preceding numbers: …742, 743
• Following numbers: 745, 746

### Nearest numbers from 744

• Preceding prime number: 743
• Following prime number: 751
Find out whether some integer is a prime number