Is 808 a prime number?

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

For 808, the answer is: No, 808 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 808) is as follows: 1, 2, 4, 8, 101, 202, 404, 808.

For 808 to be a prime number, it would have been required that 808 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

808 is a multiple of 1
808 is a multiple of 2
808 is a multiple of 4
808 is a multiple of 8
808 is a multiple of 101
808 is a multiple of 202
808 is a multiple of 404

For 808 to be a prime number, it would have been required that 808 has only two divisors, i.e., itself and 1.

Is 808 a deficient number?

Yes, 808 is a deficient number, that is to say 808 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 808 without 808 itself (that is 1 + 2 + 4 + 8 + 101 + 202 + 404 = 722).

Parity of 808

808 is an even number, because it is evenly divisible by 2: 808 / 2 = 404.

Find out more:

What is an even number?

Is 808 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 808 is about 28.425.

Thus, the square root of 808 is not an integer, and therefore 808 is not a square number.

What is the square number of 808?

The square of a number (here 808) is the result of the product of this number (808) by itself (i.e., 808 × 808); the square of 808 is sometimes called "raising 808 to the power 2", or "808 squared".

The square of 808 is 652 864 because 808 × 808 = 808² = 652 864.

As a consequence, 808 is the square root of 652 864.

Number of digits of 808

808 is a number with 3 digits.

What are the multiples of 808?

The multiples of 808 are all integers evenly divisible by 808, that is all numbers such that the remainder of the division by 808 is zero. There are infinitely many multiples of 808. The smallest multiples of 808 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 808 too, since 0 × 808 = 0
808: indeed, 808 is a multiple of itself, since 808 is evenly divisible by 808 (we have 808 / 808 = 1, so the remainder of this division is indeed zero)
1 616: indeed, 1 616 = 808 × 2
2 424: indeed, 2 424 = 808 × 3
3 232: indeed, 3 232 = 808 × 4
4 040: indeed, 4 040 = 808 × 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 808). 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 28.425). 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 808

Preceding numbers: …806, 807
Following numbers: 809, 810…

Nearest numbers from 808

Preceding prime number: 797
Following prime number: 809