Is 10002 a prime number?

10 002 is an even number, because it is evenly divisible by 2: 10 002 / 2 = 5 001.

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 10 002 is about 100.010.

Thus, the square root of 10 002 is not an integer, and therefore 10 002 is not a square number.

The square of a number (here 10 002) is the result of the product of this number (10 002) by itself (i.e., 10 002 × 10 002); the square of 10 002 is sometimes called "raising 10 002 to the power 2", or "10 002 squared".

The square of 10 002 is 100 040 004 because 10 002 × 10 002 = 10 002² = 100 040 004.

As a consequence, 10 002 is the square root of 100 040 004.

10 002 is a number with 5 digits.

The multiples of 10 002 are all integers evenly divisible by 10 002, that is all numbers such that the remainder of the division by 10 002 is zero. There are infinitely many multiples of 10 002. The smallest multiples of 10 002 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 002 too, since 0 × 10 002 = 0
• 10 002: indeed, 10 002 is a multiple of itself, since 10 002 is evenly divisible by 10 002 (we have 10 002 / 10 002 = 1, so the remainder of this division is indeed zero)
• 20 004: indeed, 20 004 = 10 002 × 2
• 30 006: indeed, 30 006 = 10 002 × 3
• 40 008: indeed, 40 008 = 10 002 × 4
• 50 010: indeed, 50 010 = 10 002 × 5
• etc.

• Preceding numbers: …10 000, 10 001
• Following numbers: 10 003, 10 004…

Nearest numbers from 10 002

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

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• 10 002 est-il un nombre premier ?