Is 33004 a prime number?

33 004 is an even number, because it is evenly divisible by 2: 33 004 / 2 = 16 502.

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• What is an even 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 33 004 is about 181.670.

Thus, the square root of 33 004 is not an integer, and therefore 33 004 is not a square number.

The square of a number (here 33 004) is the result of the product of this number (33 004) by itself (i.e., 33 004 × 33 004); the square of 33 004 is sometimes called "raising 33 004 to the power 2", or "33 004 squared".

The square of 33 004 is 1 089 264 016 because 33 004 × 33 004 = 33 004² = 1 089 264 016.

As a consequence, 33 004 is the square root of 1 089 264 016.

33 004 is a number with 5 digits.

The multiples of 33 004 are all integers evenly divisible by 33 004, that is all numbers such that the remainder of the division by 33 004 is zero. There are infinitely many multiples of 33 004. The smallest multiples of 33 004 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 33 004 too, since 0 × 33 004 = 0
• 33 004: indeed, 33 004 is a multiple of itself, since 33 004 is evenly divisible by 33 004 (we have 33 004 / 33 004 = 1, so the remainder of this division is indeed zero)
• 66 008: indeed, 66 008 = 33 004 × 2
• 99 012: indeed, 99 012 = 33 004 × 3
• 132 016: indeed, 132 016 = 33 004 × 4
• 165 020: indeed, 165 020 = 33 004 × 5
• etc.

• Preceding numbers: …33 002, 33 003
• Following numbers: 33 005, 33 006…

Nearest numbers from 33 004

• Preceding prime number: 32 999
• Following prime number: 33 013

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• 33 004 est-il un nombre premier ?