Is 83003 a prime number?

83 003 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 83 003 is about 288.102.

Thus, the square root of 83 003 is not an integer, and therefore 83 003 is not a square number.

Anyway, 83 003 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 83 003) is the result of the product of this number (83 003) by itself (i.e., 83 003 × 83 003); the square of 83 003 is sometimes called "raising 83 003 to the power 2", or "83 003 squared".

The square of 83 003 is 6 889 498 009 because 83 003 × 83 003 = 83 003² = 6 889 498 009.

As a consequence, 83 003 is the square root of 6 889 498 009.

83 003 is a number with 5 digits.

The multiples of 83 003 are all integers evenly divisible by 83 003, that is all numbers such that the remainder of the division by 83 003 is zero. There are infinitely many multiples of 83 003. The smallest multiples of 83 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 83 003 too, since 0 × 83 003 = 0
• 83 003: indeed, 83 003 is a multiple of itself, since 83 003 is evenly divisible by 83 003 (we have 83 003 / 83 003 = 1, so the remainder of this division is indeed zero)
• 166 006: indeed, 166 006 = 83 003 × 2
• 249 009: indeed, 249 009 = 83 003 × 3
• 332 012: indeed, 332 012 = 83 003 × 4
• 415 015: indeed, 415 015 = 83 003 × 5
• etc.

• Preceding numbers: …83 001, 83 002
• Following numbers: 83 004, 83 005…

Nearest numbers from 83 003

• Preceding prime number: 82 997
• Following prime number: 83 009

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• 83 003 est-il un nombre premier ?