Is 8004 a prime number? What are the divisors of 8004?

## Is 8004 a prime number?

No, 8004 is not a prime number.

For example, 8004 can be divided by 2: 8004 / 2 = 4 002.

To be 8004 a prime number, it would have been required that 8004 has only two divisors, i.e., itself and 1.

## Parity of 8004

8004 is an even number, because it is evenly divisible by 2: 8004 / 2 = 4 002.

## Is 8004 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 8004 is about 89.465.

Thus, the square root of 8004 is not an integer, and therefore 8004 is not a square number.

## What is the square number of 8004?

The square of a number (here 8004) is the result of the product of this number (8004) by itself (i.e., 8004 × 8004); the square of 8004 is sometimes called "raising 8004 to the power 2", or "8004 squared".

The square of 8004 is 64 064 016 because 8004 × 8004 = 80042 = 64 064 016.

As a consequence, 8004 is the square root of 64 064 016.

## Number of digits of 8004

8004 is a number with 4 digits.

## What are the multiples of 8004?

The multiples of 8004 are all integers evenly divisible by 8004, that is all numbers such that the remainder of the division by 8004 is zero. There are infinitely many multiples of 8004. The smallest multiples of 8004 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8004 too, since 0 × 8004 = 0
• 8004: indeed, 8004 is a multiple of itself, since 8004 is evenly divisible by 8004 (we have 8004 / 8004 = 1, so the remainder of this division is indeed zero)
• 16 008: indeed, 16 008 = 8004 × 2
• 24 012: indeed, 24 012 = 8004 × 3
• 32 016: indeed, 32 016 = 8004 × 4
• 40 020: indeed, 40 020 = 8004 × 5
• etc.

## Nearest numbers from 8004

Find out whether some integer is a prime number