Is 5007 a prime number?

5 007 is an odd number, because it is not evenly divisible by 2.

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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 5 007 is about 70.760.

Thus, the square root of 5 007 is not an integer, and therefore 5 007 is not a square number.

The square of a number (here 5 007) is the result of the product of this number (5 007) by itself (i.e., 5 007 × 5 007); the square of 5 007 is sometimes called "raising 5 007 to the power 2", or "5 007 squared".

The square of 5 007 is 25 070 049 because 5 007 × 5 007 = 5 007² = 25 070 049.

As a consequence, 5 007 is the square root of 25 070 049.

5 007 is a number with 4 digits.

The multiples of 5 007 are all integers evenly divisible by 5 007, that is all numbers such that the remainder of the division by 5 007 is zero. There are infinitely many multiples of 5 007. The smallest multiples of 5 007 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5 007 too, since 0 × 5 007 = 0
• 5 007: indeed, 5 007 is a multiple of itself, since 5 007 is evenly divisible by 5 007 (we have 5 007 / 5 007 = 1, so the remainder of this division is indeed zero)
• 10 014: indeed, 10 014 = 5 007 × 2
• 15 021: indeed, 15 021 = 5 007 × 3
• 20 028: indeed, 20 028 = 5 007 × 4
• 25 035: indeed, 25 035 = 5 007 × 5
• etc.

• Preceding numbers: …5 005, 5 006
• Following numbers: 5 008, 5 009…

Nearest numbers from 5 007

• Preceding prime number: 5 003
• Following prime number: 5 009

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• 5 007 est-il un nombre premier ?