Is 982 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 982, the answer is: No, 982 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 982) is as follows: 1, 2, 491, 982.

For 982 to be a prime number, it would have been required that 982 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

982 is a multiple of 1
982 is a multiple of 2
982 is a multiple of 491

For 982 to be a prime number, it would have been required that 982 has only two divisors, i.e., itself and 1.

However, 982 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 982 = 2 x 491, where 2 and 491 are both prime numbers.

Is 982 a deficient number?

Yes, 982 is a deficient number, that is to say 982 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 982 without 982 itself (that is 1 + 2 + 491 = 494).

Parity of 982

982 is an even number, because it is evenly divisible by 2: 982 / 2 = 491.

Find out more:

What is an even number?

Is 982 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 982 is about 31.337.

Thus, the square root of 982 is not an integer, and therefore 982 is not a square number.

What is the square number of 982?

The square of a number (here 982) is the result of the product of this number (982) by itself (i.e., 982 × 982); the square of 982 is sometimes called "raising 982 to the power 2", or "982 squared".

The square of 982 is 964 324 because 982 × 982 = 982² = 964 324.

As a consequence, 982 is the square root of 964 324.

Number of digits of 982

982 is a number with 3 digits.

What are the multiples of 982?

The multiples of 982 are all integers evenly divisible by 982, that is all numbers such that the remainder of the division by 982 is zero. There are infinitely many multiples of 982. The smallest multiples of 982 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 982 too, since 0 × 982 = 0
982: indeed, 982 is a multiple of itself, since 982 is evenly divisible by 982 (we have 982 / 982 = 1, so the remainder of this division is indeed zero)
1 964: indeed, 1 964 = 982 × 2
2 946: indeed, 2 946 = 982 × 3
3 928: indeed, 3 928 = 982 × 4
4 910: indeed, 4 910 = 982 × 5
etc.

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 982). 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 31.337). 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 982

Preceding numbers: …980, 981
Following numbers: 983, 984…

Nearest numbers from 982

Preceding prime number: 977
Following prime number: 983