Is 308 a prime number?

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

For 308, the answer is: No, 308 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 308) is as follows: 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308.

For 308 to be a prime number, it would have been required that 308 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

308 is a multiple of 1
308 is a multiple of 2
308 is a multiple of 4
308 is a multiple of 7
308 is a multiple of 11
308 is a multiple of 14
308 is a multiple of 22
308 is a multiple of 28
308 is a multiple of 44
308 is a multiple of 77
308 is a multiple of 154

For 308 to be a prime number, it would have been required that 308 has only two divisors, i.e., itself and 1.

Is 308 a deficient number?

No, 308 is not a deficient number: to be deficient, 308 should have been such that 308 is larger than the sum of its proper divisors, i.e., the divisors of 308 without 308 itself (that is 1 + 2 + 4 + 7 + 11 + 14 + 22 + 28 + 44 + 77 + 154 = 364).

In fact, 308 is an abundant number; 308 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 7 + 11 + 14 + 22 + 28 + 44 + 77 + 154 = 364). The smallest abundant number is 12.

Parity of 308

308 is an even number, because it is evenly divisible by 2: 308 / 2 = 154.

Find out more:

What is an even number?

Is 308 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 308 is about 17.550.

Thus, the square root of 308 is not an integer, and therefore 308 is not a square number.

What is the square number of 308?

The square of a number (here 308) is the result of the product of this number (308) by itself (i.e., 308 × 308); the square of 308 is sometimes called "raising 308 to the power 2", or "308 squared".

The square of 308 is 94 864 because 308 × 308 = 308² = 94 864.

As a consequence, 308 is the square root of 94 864.

Number of digits of 308

308 is a number with 3 digits.

What are the multiples of 308?

The multiples of 308 are all integers evenly divisible by 308, that is all numbers such that the remainder of the division by 308 is zero. There are infinitely many multiples of 308. The smallest multiples of 308 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 308 too, since 0 × 308 = 0
308: indeed, 308 is a multiple of itself, since 308 is evenly divisible by 308 (we have 308 / 308 = 1, so the remainder of this division is indeed zero)
616: indeed, 616 = 308 × 2
924: indeed, 924 = 308 × 3
1 232: indeed, 1 232 = 308 × 4
1 540: indeed, 1 540 = 308 × 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 308). 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 17.550). 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 308

Preceding numbers: …306, 307
Following numbers: 309, 310…

Nearest numbers from 308

Preceding prime number: 307
Following prime number: 311