Is 10005 a prime number?

10 005 is an odd number, because it is not evenly divisible by 2.

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 10 005 is about 100.025.

Thus, the square root of 10 005 is not an integer, and therefore 10 005 is not a square number.

The square of a number (here 10 005) is the result of the product of this number (10 005) by itself (i.e., 10 005 × 10 005); the square of 10 005 is sometimes called "raising 10 005 to the power 2", or "10 005 squared".

The square of 10 005 is 100 100 025 because 10 005 × 10 005 = 10 005² = 100 100 025.

As a consequence, 10 005 is the square root of 100 100 025.

10 005 is a number with 5 digits.

The multiples of 10 005 are all integers evenly divisible by 10 005, that is all numbers such that the remainder of the division by 10 005 is zero. There are infinitely many multiples of 10 005. The smallest multiples of 10 005 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 005 too, since 0 × 10 005 = 0
• 10 005: indeed, 10 005 is a multiple of itself, since 10 005 is evenly divisible by 10 005 (we have 10 005 / 10 005 = 1, so the remainder of this division is indeed zero)
• 20 010: indeed, 20 010 = 10 005 × 2
• 30 015: indeed, 30 015 = 10 005 × 3
• 40 020: indeed, 40 020 = 10 005 × 4
• 50 025: indeed, 50 025 = 10 005 × 5
• etc.

• Preceding numbers: …10 003, 10 004
• Following numbers: 10 006, 10 007…

Nearest numbers from 10 005

• Preceding prime number: 9 973
• Following prime number: 10 007

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• 10 005 est-il un nombre premier ?