Is 979 a prime number?

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

For 979, the answer is: No, 979 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 979) is as follows: 1, 11, 89, 979.

For 979 to be a prime number, it would have been required that 979 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

979 is a multiple of 1
979 is a multiple of 11
979 is a multiple of 89

For 979 to be a prime number, it would have been required that 979 has only two divisors, i.e., itself and 1.

However, 979 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 979 = 11 x 89, where 11 and 89 are both prime numbers.

Is 979 a deficient number?

Yes, 979 is a deficient number, that is to say 979 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 979 without 979 itself (that is 1 + 11 + 89 = 101).

Parity of 979

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

Find out more:

What is an even number?

Is 979 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 979 is about 31.289.

Thus, the square root of 979 is not an integer, and therefore 979 is not a square number.

What is the square number of 979?

The square of a number (here 979) is the result of the product of this number (979) by itself (i.e., 979 × 979); the square of 979 is sometimes called "raising 979 to the power 2", or "979 squared".

The square of 979 is 958 441 because 979 × 979 = 979² = 958 441.

As a consequence, 979 is the square root of 958 441.

Number of digits of 979

979 is a number with 3 digits.

What are the multiples of 979?

The multiples of 979 are all integers evenly divisible by 979, that is all numbers such that the remainder of the division by 979 is zero. There are infinitely many multiples of 979. The smallest multiples of 979 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 979 too, since 0 × 979 = 0
979: indeed, 979 is a multiple of itself, since 979 is evenly divisible by 979 (we have 979 / 979 = 1, so the remainder of this division is indeed zero)
1 958: indeed, 1 958 = 979 × 2
2 937: indeed, 2 937 = 979 × 3
3 916: indeed, 3 916 = 979 × 4
4 895: indeed, 4 895 = 979 × 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 979). 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 31.289). 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 979

Preceding numbers: …977, 978
Following numbers: 980, 981…

Nearest numbers from 979

Preceding prime number: 977
Following prime number: 983