Is 368 a prime number?

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

For 368, the answer is: No, 368 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 368) is as follows: 1, 2, 4, 8, 16, 23, 46, 92, 184, 368.

For 368 to be a prime number, it would have been required that 368 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

368 is a multiple of 1
368 is a multiple of 2
368 is a multiple of 4
368 is a multiple of 8
368 is a multiple of 16
368 is a multiple of 23
368 is a multiple of 46
368 is a multiple of 92
368 is a multiple of 184

For 368 to be a prime number, it would have been required that 368 has only two divisors, i.e., itself and 1.

Is 368 a deficient number?

No, 368 is not a deficient number: to be deficient, 368 should have been such that 368 is larger than the sum of its proper divisors, i.e., the divisors of 368 without 368 itself (that is 1 + 2 + 4 + 8 + 16 + 23 + 46 + 92 + 184 = 376).

In fact, 368 is an abundant number; 368 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 8 + 16 + 23 + 46 + 92 + 184 = 376). The smallest abundant number is 12.

Parity of 368

368 is an even number, because it is evenly divisible by 2: 368 / 2 = 184.

Find out more:

What is an even number?

Is 368 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 368 is about 19.183.

Thus, the square root of 368 is not an integer, and therefore 368 is not a square number.

What is the square number of 368?

The square of a number (here 368) is the result of the product of this number (368) by itself (i.e., 368 × 368); the square of 368 is sometimes called "raising 368 to the power 2", or "368 squared".

The square of 368 is 135 424 because 368 × 368 = 368² = 135 424.

As a consequence, 368 is the square root of 135 424.

Number of digits of 368

368 is a number with 3 digits.

What are the multiples of 368?

The multiples of 368 are all integers evenly divisible by 368, that is all numbers such that the remainder of the division by 368 is zero. There are infinitely many multiples of 368. The smallest multiples of 368 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 368 too, since 0 × 368 = 0
368: indeed, 368 is a multiple of itself, since 368 is evenly divisible by 368 (we have 368 / 368 = 1, so the remainder of this division is indeed zero)
736: indeed, 736 = 368 × 2
1 104: indeed, 1 104 = 368 × 3
1 472: indeed, 1 472 = 368 × 4
1 840: indeed, 1 840 = 368 × 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 368). 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 19.183). 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 368

Preceding numbers: …366, 367
Following numbers: 369, 370…

Nearest numbers from 368

Preceding prime number: 367
Following prime number: 373