Is 881 a prime number? What are the divisors of 881?

## Parity of 881

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

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## Is 881 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 881 is about 29.682.

Thus, the square root of 881 is not an integer, and therefore 881 is not a square number.

Anyway, 881 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 881?

The square of a number (here 881) is the result of the product of this number (881) by itself (i.e., 881 × 881); the square of 881 is sometimes called "raising 881 to the power 2", or "881 squared".

The square of 881 is 776 161 because 881 × 881 = 8812 = 776 161.

As a consequence, 881 is the square root of 776 161.

## Number of digits of 881

881 is a number with 3 digits.

## What are the multiples of 881?

The multiples of 881 are all integers evenly divisible by 881, that is all numbers such that the remainder of the division by 881 is zero. There are infinitely many multiples of 881. The smallest multiples of 881 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 881). 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 29.682). 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 881

• Preceding numbers: …879, 880
• Following numbers: 882, 883

### Nearest numbers from 881

• Preceding prime number: 877
• Following prime number: 883
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