Is 358 a prime number?

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

For 358, the answer is: No, 358 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 358) is as follows: 1, 2, 179, 358.

For 358 to be a prime number, it would have been required that 358 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

358 is a multiple of 1
358 is a multiple of 2
358 is a multiple of 179

For 358 to be a prime number, it would have been required that 358 has only two divisors, i.e., itself and 1.

However, 358 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 358 = 2 x 179, where 2 and 179 are both prime numbers.

Is 358 a deficient number?

Yes, 358 is a deficient number, that is to say 358 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 358 without 358 itself (that is 1 + 2 + 179 = 182).

Parity of 358

358 is an even number, because it is evenly divisible by 2: 358 / 2 = 179.

Find out more:

What is an even number?

Is 358 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 358 is about 18.921.

Thus, the square root of 358 is not an integer, and therefore 358 is not a square number.

What is the square number of 358?

The square of a number (here 358) is the result of the product of this number (358) by itself (i.e., 358 × 358); the square of 358 is sometimes called "raising 358 to the power 2", or "358 squared".

The square of 358 is 128 164 because 358 × 358 = 358² = 128 164.

As a consequence, 358 is the square root of 128 164.

Number of digits of 358

358 is a number with 3 digits.

What are the multiples of 358?

The multiples of 358 are all integers evenly divisible by 358, that is all numbers such that the remainder of the division by 358 is zero. There are infinitely many multiples of 358. The smallest multiples of 358 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 358 too, since 0 × 358 = 0
358: indeed, 358 is a multiple of itself, since 358 is evenly divisible by 358 (we have 358 / 358 = 1, so the remainder of this division is indeed zero)
716: indeed, 716 = 358 × 2
1 074: indeed, 1 074 = 358 × 3
1 432: indeed, 1 432 = 358 × 4
1 790: indeed, 1 790 = 358 × 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 358). 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 18.921). 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 358

Preceding numbers: …356, 357
Following numbers: 359, 360…

Nearest numbers from 358

Preceding prime number: 353
Following prime number: 359