Is 988 a prime number?

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

For 988, the answer is: No, 988 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 988) is as follows: 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.

For 988 to be a prime number, it would have been required that 988 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

988 is a multiple of 1
988 is a multiple of 2
988 is a multiple of 4
988 is a multiple of 13
988 is a multiple of 19
988 is a multiple of 26
988 is a multiple of 38
988 is a multiple of 52
988 is a multiple of 76
988 is a multiple of 247
988 is a multiple of 494

For 988 to be a prime number, it would have been required that 988 has only two divisors, i.e., itself and 1.

Is 988 a deficient number?

Yes, 988 is a deficient number, that is to say 988 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 988 without 988 itself (that is 1 + 2 + 4 + 13 + 19 + 26 + 38 + 52 + 76 + 247 + 494 = 972).

Parity of 988

988 is an even number, because it is evenly divisible by 2: 988 / 2 = 494.

Find out more:

What is an even number?

Is 988 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 988 is about 31.432.

Thus, the square root of 988 is not an integer, and therefore 988 is not a square number.

What is the square number of 988?

The square of a number (here 988) is the result of the product of this number (988) by itself (i.e., 988 × 988); the square of 988 is sometimes called "raising 988 to the power 2", or "988 squared".

The square of 988 is 976 144 because 988 × 988 = 988² = 976 144.

As a consequence, 988 is the square root of 976 144.

Number of digits of 988

988 is a number with 3 digits.

What are the multiples of 988?

The multiples of 988 are all integers evenly divisible by 988, that is all numbers such that the remainder of the division by 988 is zero. There are infinitely many multiples of 988. The smallest multiples of 988 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 988 too, since 0 × 988 = 0
988: indeed, 988 is a multiple of itself, since 988 is evenly divisible by 988 (we have 988 / 988 = 1, so the remainder of this division is indeed zero)
1 976: indeed, 1 976 = 988 × 2
2 964: indeed, 2 964 = 988 × 3
3 952: indeed, 3 952 = 988 × 4
4 940: indeed, 4 940 = 988 × 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 988). 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 31.432). 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 988

Preceding numbers: …986, 987
Following numbers: 989, 990…

Nearest numbers from 988

Preceding prime number: 983
Following prime number: 991