Is 715 a prime number? What are the divisors of 715?

## Parity of 715

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

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## Is 715 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 715 is about 26.739.

Thus, the square root of 715 is not an integer, and therefore 715 is not a square number.

## What is the square number of 715?

The square of a number (here 715) is the result of the product of this number (715) by itself (i.e., 715 × 715); the square of 715 is sometimes called "raising 715 to the power 2", or "715 squared".

The square of 715 is 511 225 because 715 × 715 = 7152 = 511 225.

As a consequence, 715 is the square root of 511 225.

## Number of digits of 715

715 is a number with 3 digits.

## What are the multiples of 715?

The multiples of 715 are all integers evenly divisible by 715, that is all numbers such that the remainder of the division by 715 is zero. There are infinitely many multiples of 715. The smallest multiples of 715 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 715). 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 26.739). 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 715

• Preceding numbers: …713, 714
• Following numbers: 716, 717

### Nearest numbers from 715

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