Is 508 a prime number?

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

For 508, the answer is: No, 508 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 508) is as follows: 1, 2, 4, 127, 254, 508.

For 508 to be a prime number, it would have been required that 508 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

508 is a multiple of 1
508 is a multiple of 2
508 is a multiple of 4
508 is a multiple of 127
508 is a multiple of 254

For 508 to be a prime number, it would have been required that 508 has only two divisors, i.e., itself and 1.

Is 508 a deficient number?

Yes, 508 is a deficient number, that is to say 508 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 508 without 508 itself (that is 1 + 2 + 4 + 127 + 254 = 388).

Parity of 508

508 is an even number, because it is evenly divisible by 2: 508 / 2 = 254.

Find out more:

What is an even number?

Is 508 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 508 is about 22.539.

Thus, the square root of 508 is not an integer, and therefore 508 is not a square number.

What is the square number of 508?

The square of a number (here 508) is the result of the product of this number (508) by itself (i.e., 508 × 508); the square of 508 is sometimes called "raising 508 to the power 2", or "508 squared".

The square of 508 is 258 064 because 508 × 508 = 508² = 258 064.

As a consequence, 508 is the square root of 258 064.

Number of digits of 508

508 is a number with 3 digits.

What are the multiples of 508?

The multiples of 508 are all integers evenly divisible by 508, that is all numbers such that the remainder of the division by 508 is zero. There are infinitely many multiples of 508. The smallest multiples of 508 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 508 too, since 0 × 508 = 0
508: indeed, 508 is a multiple of itself, since 508 is evenly divisible by 508 (we have 508 / 508 = 1, so the remainder of this division is indeed zero)
1 016: indeed, 1 016 = 508 × 2
1 524: indeed, 1 524 = 508 × 3
2 032: indeed, 2 032 = 508 × 4
2 540: indeed, 2 540 = 508 × 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 508). 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 22.539). 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 508

Preceding numbers: …506, 507
Following numbers: 509, 510…

Nearest numbers from 508

Preceding prime number: 503
Following prime number: 509