Is 904 a prime number?

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

For 904, the answer is: No, 904 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 904) is as follows: 1, 2, 4, 8, 113, 226, 452, 904.

For 904 to be a prime number, it would have been required that 904 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

904 is a multiple of 1
904 is a multiple of 2
904 is a multiple of 4
904 is a multiple of 8
904 is a multiple of 113
904 is a multiple of 226
904 is a multiple of 452

For 904 to be a prime number, it would have been required that 904 has only two divisors, i.e., itself and 1.

Is 904 a deficient number?

Yes, 904 is a deficient number, that is to say 904 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 904 without 904 itself (that is 1 + 2 + 4 + 8 + 113 + 226 + 452 = 806).

Parity of 904

904 is an even number, because it is evenly divisible by 2: 904 / 2 = 452.

Find out more:

What is an even number?

Is 904 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 904 is about 30.067.

Thus, the square root of 904 is not an integer, and therefore 904 is not a square number.

What is the square number of 904?

The square of a number (here 904) is the result of the product of this number (904) by itself (i.e., 904 × 904); the square of 904 is sometimes called "raising 904 to the power 2", or "904 squared".

The square of 904 is 817 216 because 904 × 904 = 904² = 817 216.

As a consequence, 904 is the square root of 817 216.

Number of digits of 904

904 is a number with 3 digits.

What are the multiples of 904?

The multiples of 904 are all integers evenly divisible by 904, that is all numbers such that the remainder of the division by 904 is zero. There are infinitely many multiples of 904. The smallest multiples of 904 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 904 too, since 0 × 904 = 0
904: indeed, 904 is a multiple of itself, since 904 is evenly divisible by 904 (we have 904 / 904 = 1, so the remainder of this division is indeed zero)
1 808: indeed, 1 808 = 904 × 2
2 712: indeed, 2 712 = 904 × 3
3 616: indeed, 3 616 = 904 × 4
4 520: indeed, 4 520 = 904 × 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 904). 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 30.067). 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 904

Preceding numbers: …902, 903
Following numbers: 905, 906…

Nearest numbers from 904

Preceding prime number: 887
Following prime number: 907