Is 10003 a prime number?

10 003 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 10 003 is about 100.015.

Thus, the square root of 10 003 is not an integer, and therefore 10 003 is not a square number.

The square of a number (here 10 003) is the result of the product of this number (10 003) by itself (i.e., 10 003 × 10 003); the square of 10 003 is sometimes called "raising 10 003 to the power 2", or "10 003 squared".

The square of 10 003 is 100 060 009 because 10 003 × 10 003 = 10 003² = 100 060 009.

As a consequence, 10 003 is the square root of 100 060 009.

10 003 is a number with 5 digits.

The multiples of 10 003 are all integers evenly divisible by 10 003, that is all numbers such that the remainder of the division by 10 003 is zero. There are infinitely many multiples of 10 003. The smallest multiples of 10 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 003 too, since 0 × 10 003 = 0
• 10 003: indeed, 10 003 is a multiple of itself, since 10 003 is evenly divisible by 10 003 (we have 10 003 / 10 003 = 1, so the remainder of this division is indeed zero)
• 20 006: indeed, 20 006 = 10 003 × 2
• 30 009: indeed, 30 009 = 10 003 × 3
• 40 012: indeed, 40 012 = 10 003 × 4
• 50 015: indeed, 50 015 = 10 003 × 5
• etc.

• Preceding numbers: …10 001, 10 002
• Following numbers: 10 004, 10 005…

Nearest numbers from 10 003

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

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• 10 003 est-il un nombre premier ?