Is 738 a prime number? What are the divisors of 738?

## Parity of 738

738 is an even number, because it is evenly divisible by 2: 738 / 2 = 369.

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## Is 738 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 738 is about 27.166.

Thus, the square root of 738 is not an integer, and therefore 738 is not a square number.

## What is the square number of 738?

The square of a number (here 738) is the result of the product of this number (738) by itself (i.e., 738 × 738); the square of 738 is sometimes called "raising 738 to the power 2", or "738 squared".

The square of 738 is 544 644 because 738 × 738 = 7382 = 544 644.

As a consequence, 738 is the square root of 544 644.

## Number of digits of 738

738 is a number with 3 digits.

## What are the multiples of 738?

The multiples of 738 are all integers evenly divisible by 738, that is all numbers such that the remainder of the division by 738 is zero. There are infinitely many multiples of 738. The smallest multiples of 738 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 738). 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 27.166). 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 738

• Preceding numbers: …736, 737
• Following numbers: 739, 740

### Nearest numbers from 738

• Preceding prime number: 733
• Following prime number: 739
Find out whether some integer is a prime number