Is 998 a prime number? What are the divisors of 998?

## Parity of 998

998 is an even number, because it is evenly divisible by 2: 998 / 2 = 499.

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## Is 998 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 998 is about 31.591.

Thus, the square root of 998 is not an integer, and therefore 998 is not a square number.

## What is the square number of 998?

The square of a number (here 998) is the result of the product of this number (998) by itself (i.e., 998 × 998); the square of 998 is sometimes called "raising 998 to the power 2", or "998 squared".

The square of 998 is 996 004 because 998 × 998 = 9982 = 996 004.

As a consequence, 998 is the square root of 996 004.

## Number of digits of 998

998 is a number with 3 digits.

## What are the multiples of 998?

The multiples of 998 are all integers evenly divisible by 998, that is all numbers such that the remainder of the division by 998 is zero. There are infinitely many multiples of 998. The smallest multiples of 998 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 998). 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 31.591). 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 998

### Nearest numbers from 998

• Preceding prime number: 997
• Following prime number: 1 009
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