Is 752 a prime number? What are the divisors of 752?

## Parity of 752

752 is an even number, because it is evenly divisible by 2: 752 / 2 = 376.

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## Is 752 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 752 is about 27.423.

Thus, the square root of 752 is not an integer, and therefore 752 is not a square number.

## What is the square number of 752?

The square of a number (here 752) is the result of the product of this number (752) by itself (i.e., 752 × 752); the square of 752 is sometimes called "raising 752 to the power 2", or "752 squared".

The square of 752 is 565 504 because 752 × 752 = 7522 = 565 504.

As a consequence, 752 is the square root of 565 504.

## Number of digits of 752

752 is a number with 3 digits.

## What are the multiples of 752?

The multiples of 752 are all integers evenly divisible by 752, that is all numbers such that the remainder of the division by 752 is zero. There are infinitely many multiples of 752. The smallest multiples of 752 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 752). 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 27.423). 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 752

• Preceding numbers: …750, 751
• Following numbers: 753, 754

### Nearest numbers from 752

• Preceding prime number: 751
• Following prime number: 757
Find out whether some integer is a prime number