Is 50003 a prime number?

50 003 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 50 003 is about 223.614.

Thus, the square root of 50 003 is not an integer, and therefore 50 003 is not a square number.

The square of a number (here 50 003) is the result of the product of this number (50 003) by itself (i.e., 50 003 × 50 003); the square of 50 003 is sometimes called "raising 50 003 to the power 2", or "50 003 squared".

The square of 50 003 is 2 500 300 009 because 50 003 × 50 003 = 50 003² = 2 500 300 009.

As a consequence, 50 003 is the square root of 2 500 300 009.

50 003 is a number with 5 digits.

The multiples of 50 003 are all integers evenly divisible by 50 003, that is all numbers such that the remainder of the division by 50 003 is zero. There are infinitely many multiples of 50 003. The smallest multiples of 50 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 50 003 too, since 0 × 50 003 = 0
• 50 003: indeed, 50 003 is a multiple of itself, since 50 003 is evenly divisible by 50 003 (we have 50 003 / 50 003 = 1, so the remainder of this division is indeed zero)
• 100 006: indeed, 100 006 = 50 003 × 2
• 150 009: indeed, 150 009 = 50 003 × 3
• 200 012: indeed, 200 012 = 50 003 × 4
• 250 015: indeed, 250 015 = 50 003 × 5
• etc.

• Preceding numbers: …50 001, 50 002
• Following numbers: 50 004, 50 005…

Nearest numbers from 50 003

• Preceding prime number: 49 999
• Following prime number: 50 021

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• 50 003 est-il un nombre premier ?