Is 804 a prime number?

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

For 804, the answer is: No, 804 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 804) is as follows: 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.

For 804 to be a prime number, it would have been required that 804 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

804 is a multiple of 1
804 is a multiple of 2
804 is a multiple of 3
804 is a multiple of 4
804 is a multiple of 6
804 is a multiple of 12
804 is a multiple of 67
804 is a multiple of 134
804 is a multiple of 201
804 is a multiple of 268
804 is a multiple of 402

For 804 to be a prime number, it would have been required that 804 has only two divisors, i.e., itself and 1.

Is 804 a deficient number?

No, 804 is not a deficient number: to be deficient, 804 should have been such that 804 is larger than the sum of its proper divisors, i.e., the divisors of 804 without 804 itself (that is 1 + 2 + 3 + 4 + 6 + 12 + 67 + 134 + 201 + 268 + 402 = 1 100).

In fact, 804 is an abundant number; 804 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 12 + 67 + 134 + 201 + 268 + 402 = 1 100). The smallest abundant number is 12.

Parity of 804

804 is an even number, because it is evenly divisible by 2: 804 / 2 = 402.

Find out more:

What is an even number?

Is 804 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 804 is about 28.355.

Thus, the square root of 804 is not an integer, and therefore 804 is not a square number.

What is the square number of 804?

The square of a number (here 804) is the result of the product of this number (804) by itself (i.e., 804 × 804); the square of 804 is sometimes called "raising 804 to the power 2", or "804 squared".

The square of 804 is 646 416 because 804 × 804 = 804² = 646 416.

As a consequence, 804 is the square root of 646 416.

Number of digits of 804

804 is a number with 3 digits.

What are the multiples of 804?

The multiples of 804 are all integers evenly divisible by 804, that is all numbers such that the remainder of the division by 804 is zero. There are infinitely many multiples of 804. The smallest multiples of 804 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 804 too, since 0 × 804 = 0
804: indeed, 804 is a multiple of itself, since 804 is evenly divisible by 804 (we have 804 / 804 = 1, so the remainder of this division is indeed zero)
1 608: indeed, 1 608 = 804 × 2
2 412: indeed, 2 412 = 804 × 3
3 216: indeed, 3 216 = 804 × 4
4 020: indeed, 4 020 = 804 × 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 804). 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 28.355). 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 804

Preceding numbers: …802, 803
Following numbers: 805, 806…

Nearest numbers from 804

Preceding prime number: 797
Following prime number: 809