Is 713 a prime number? What are the divisors of 713?

## Parity of 713

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

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## Is 713 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 713 is about 26.702.

Thus, the square root of 713 is not an integer, and therefore 713 is not a square number.

## What is the square number of 713?

The square of a number (here 713) is the result of the product of this number (713) by itself (i.e., 713 × 713); the square of 713 is sometimes called "raising 713 to the power 2", or "713 squared".

The square of 713 is 508 369 because 713 × 713 = 7132 = 508 369.

As a consequence, 713 is the square root of 508 369.

## Number of digits of 713

713 is a number with 3 digits.

## What are the multiples of 713?

The multiples of 713 are all integers evenly divisible by 713, that is all numbers such that the remainder of the division by 713 is zero. There are infinitely many multiples of 713. The smallest multiples of 713 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 713). 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 26.702). 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 713

• Preceding numbers: …711, 712
• Following numbers: 714, 715

### Nearest numbers from 713

• Preceding prime number: 709
• Following prime number: 719
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