Is 739 a prime number? What are the divisors of 739?

## Parity of 739

739 is an odd number, because it is not evenly divisible by 2.

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## Is 739 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 739 is about 27.185.

Thus, the square root of 739 is not an integer, and therefore 739 is not a square number.

Anyway, 739 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 739?

The square of a number (here 739) is the result of the product of this number (739) by itself (i.e., 739 × 739); the square of 739 is sometimes called "raising 739 to the power 2", or "739 squared".

The square of 739 is 546 121 because 739 × 739 = 7392 = 546 121.

As a consequence, 739 is the square root of 546 121.

## Number of digits of 739

739 is a number with 3 digits.

## What are the multiples of 739?

The multiples of 739 are all integers evenly divisible by 739, that is all numbers such that the remainder of the division by 739 is zero. There are infinitely many multiples of 739. The smallest multiples of 739 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 739). 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 27.185). 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 739

• Preceding numbers: …737, 738
• Following numbers: 740, 741

### Nearest numbers from 739

• Preceding prime number: 733
• Following prime number: 743
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