Is 5000 a prime number?

5 000 is an even number, because it is evenly divisible by 2: 5 000 / 2 = 2 500.

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 5 000 is about 70.711.

Thus, the square root of 5 000 is not an integer, and therefore 5 000 is not a square number.

The square of a number (here 5 000) is the result of the product of this number (5 000) by itself (i.e., 5 000 × 5 000); the square of 5 000 is sometimes called "raising 5 000 to the power 2", or "5 000 squared".

The square of 5 000 is 25 000 000 because 5 000 × 5 000 = 5 000² = 25 000 000.

As a consequence, 5 000 is the square root of 25 000 000.

5 000 is a number with 4 digits.

The multiples of 5 000 are all integers evenly divisible by 5 000, that is all numbers such that the remainder of the division by 5 000 is zero. There are infinitely many multiples of 5 000. The smallest multiples of 5 000 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5 000 too, since 0 × 5 000 = 0
• 5 000: indeed, 5 000 is a multiple of itself, since 5 000 is evenly divisible by 5 000 (we have 5 000 / 5 000 = 1, so the remainder of this division is indeed zero)
• 10 000: indeed, 10 000 = 5 000 × 2
• 15 000: indeed, 15 000 = 5 000 × 3
• 20 000: indeed, 20 000 = 5 000 × 4
• 25 000: indeed, 25 000 = 5 000 × 5
• etc.

• Preceding numbers: …4 998, 4 999
• Following numbers: 5 001, 5 002…

Nearest numbers from 5 000

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

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• 5 000 est-il un nombre premier ?