Is 753 a prime number? What are the divisors of 753?

## Parity of 753

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

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## Is 753 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 753 is about 27.441.

Thus, the square root of 753 is not an integer, and therefore 753 is not a square number.

## What is the square number of 753?

The square of a number (here 753) is the result of the product of this number (753) by itself (i.e., 753 × 753); the square of 753 is sometimes called "raising 753 to the power 2", or "753 squared".

The square of 753 is 567 009 because 753 × 753 = 7532 = 567 009.

As a consequence, 753 is the square root of 567 009.

## Number of digits of 753

753 is a number with 3 digits.

## What are the multiples of 753?

The multiples of 753 are all integers evenly divisible by 753, that is all numbers such that the remainder of the division by 753 is zero. There are infinitely many multiples of 753. The smallest multiples of 753 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 753). 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 27.441). 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 753

• Preceding numbers: …751, 752
• Following numbers: 754, 755

### Nearest numbers from 753

• Preceding prime number: 751
• Following prime number: 757
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