Is 725 a prime number? What are the divisors of 725?

## Parity of 725

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

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## Is 725 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 725 is about 26.926.

Thus, the square root of 725 is not an integer, and therefore 725 is not a square number.

## What is the square number of 725?

The square of a number (here 725) is the result of the product of this number (725) by itself (i.e., 725 × 725); the square of 725 is sometimes called "raising 725 to the power 2", or "725 squared".

The square of 725 is 525 625 because 725 × 725 = 7252 = 525 625.

As a consequence, 725 is the square root of 525 625.

## Number of digits of 725

725 is a number with 3 digits.

## What are the multiples of 725?

The multiples of 725 are all integers evenly divisible by 725, that is all numbers such that the remainder of the division by 725 is zero. There are infinitely many multiples of 725. The smallest multiples of 725 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 725). 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 26.926). 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 725

• Preceding numbers: …723, 724
• Following numbers: 726, 727

### Nearest numbers from 725

• Preceding prime number: 719
• Following prime number: 727
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