Is 747 a prime number? What are the divisors of 747?

## Parity of 747

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

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## Is 747 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 747 is about 27.331.

Thus, the square root of 747 is not an integer, and therefore 747 is not a square number.

## What is the square number of 747?

The square of a number (here 747) is the result of the product of this number (747) by itself (i.e., 747 × 747); the square of 747 is sometimes called "raising 747 to the power 2", or "747 squared".

The square of 747 is 558 009 because 747 × 747 = 7472 = 558 009.

As a consequence, 747 is the square root of 558 009.

## Number of digits of 747

747 is a number with 3 digits.

## What are the multiples of 747?

The multiples of 747 are all integers evenly divisible by 747, that is all numbers such that the remainder of the division by 747 is zero. There are infinitely many multiples of 747. The smallest multiples of 747 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 747). 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 27.331). 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 747

• Preceding numbers: …745, 746
• Following numbers: 748, 749

### Nearest numbers from 747

• Preceding prime number: 743
• Following prime number: 751
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