Is 958 a prime number?

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

For 958, the answer is: No, 958 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 958) is as follows: 1, 2, 479, 958.

For 958 to be a prime number, it would have been required that 958 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

958 is a multiple of 1
958 is a multiple of 2
958 is a multiple of 479

For 958 to be a prime number, it would have been required that 958 has only two divisors, i.e., itself and 1.

However, 958 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 958 = 2 x 479, where 2 and 479 are both prime numbers.

Is 958 a deficient number?

Yes, 958 is a deficient number, that is to say 958 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 958 without 958 itself (that is 1 + 2 + 479 = 482).

Parity of 958

958 is an even number, because it is evenly divisible by 2: 958 / 2 = 479.

Find out more:

What is an even number?

Is 958 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 958 is about 30.952.

Thus, the square root of 958 is not an integer, and therefore 958 is not a square number.

What is the square number of 958?

The square of a number (here 958) is the result of the product of this number (958) by itself (i.e., 958 × 958); the square of 958 is sometimes called "raising 958 to the power 2", or "958 squared".

The square of 958 is 917 764 because 958 × 958 = 958² = 917 764.

As a consequence, 958 is the square root of 917 764.

Number of digits of 958

958 is a number with 3 digits.

What are the multiples of 958?

The multiples of 958 are all integers evenly divisible by 958, that is all numbers such that the remainder of the division by 958 is zero. There are infinitely many multiples of 958. The smallest multiples of 958 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 958 too, since 0 × 958 = 0
958: indeed, 958 is a multiple of itself, since 958 is evenly divisible by 958 (we have 958 / 958 = 1, so the remainder of this division is indeed zero)
1 916: indeed, 1 916 = 958 × 2
2 874: indeed, 2 874 = 958 × 3
3 832: indeed, 3 832 = 958 × 4
4 790: indeed, 4 790 = 958 × 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 958). 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 30.952). 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 958

Preceding numbers: …956, 957
Following numbers: 959, 960…

Nearest numbers from 958

Preceding prime number: 953
Following prime number: 967