Is 291 a prime number? What are the divisors of 291?

## Parity of 291

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

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## Is 291 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 291 is about 17.059.

Thus, the square root of 291 is not an integer, and therefore 291 is not a square number.

## What is the square number of 291?

The square of a number (here 291) is the result of the product of this number (291) by itself (i.e., 291 × 291); the square of 291 is sometimes called "raising 291 to the power 2", or "291 squared".

The square of 291 is 84 681 because 291 × 291 = 2912 = 84 681.

As a consequence, 291 is the square root of 84 681.

## Number of digits of 291

291 is a number with 3 digits.

## What are the multiples of 291?

The multiples of 291 are all integers evenly divisible by 291, that is all numbers such that the remainder of the division by 291 is zero. There are infinitely many multiples of 291. The smallest multiples of 291 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 291). 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 17.059). 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 291

• Preceding numbers: …289, 290
• Following numbers: 292, 293

### Nearest numbers from 291

• Preceding prime number: 283
• Following prime number: 293
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