Is 5002 a prime number?

5 002 is an even number, because it is evenly divisible by 2: 5 002 / 2 = 2 501.

Find out more:

• 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 5 002 is about 70.725.

Thus, the square root of 5 002 is not an integer, and therefore 5 002 is not a square number.

The square of a number (here 5 002) is the result of the product of this number (5 002) by itself (i.e., 5 002 × 5 002); the square of 5 002 is sometimes called "raising 5 002 to the power 2", or "5 002 squared".

The square of 5 002 is 25 020 004 because 5 002 × 5 002 = 5 002² = 25 020 004.

As a consequence, 5 002 is the square root of 25 020 004.

5 002 is a number with 4 digits.

The multiples of 5 002 are all integers evenly divisible by 5 002, that is all numbers such that the remainder of the division by 5 002 is zero. There are infinitely many multiples of 5 002. The smallest multiples of 5 002 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5 002 too, since 0 × 5 002 = 0
• 5 002: indeed, 5 002 is a multiple of itself, since 5 002 is evenly divisible by 5 002 (we have 5 002 / 5 002 = 1, so the remainder of this division is indeed zero)
• 10 004: indeed, 10 004 = 5 002 × 2
• 15 006: indeed, 15 006 = 5 002 × 3
• 20 008: indeed, 20 008 = 5 002 × 4
• 25 010: indeed, 25 010 = 5 002 × 5
• etc.

• Preceding numbers: …5 000, 5 001
• Following numbers: 5 003, 5 004…

Nearest numbers from 5 002

• Preceding prime number: 4 999
• Following prime number: 5 003

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• 5 002 est-il un nombre premier ?