Is 714 a prime number? What are the divisors of 714?

## Parity of 714

714 is an even number, because it is evenly divisible by 2: 714 / 2 = 357.

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## Is 714 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 714 is about 26.721.

Thus, the square root of 714 is not an integer, and therefore 714 is not a square number.

## What is the square number of 714?

The square of a number (here 714) is the result of the product of this number (714) by itself (i.e., 714 × 714); the square of 714 is sometimes called "raising 714 to the power 2", or "714 squared".

The square of 714 is 509 796 because 714 × 714 = 7142 = 509 796.

As a consequence, 714 is the square root of 509 796.

## Number of digits of 714

714 is a number with 3 digits.

## What are the multiples of 714?

The multiples of 714 are all integers evenly divisible by 714, that is all numbers such that the remainder of the division by 714 is zero. There are infinitely many multiples of 714. The smallest multiples of 714 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 714). 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 26.721). 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 714

• Preceding numbers: …712, 713
• Following numbers: 715, 716

### Nearest numbers from 714

• Preceding prime number: 709
• Following prime number: 719
Find out whether some integer is a prime number