Is 748003 a prime number?

748 003 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 748 003 is about 864.872.

Thus, the square root of 748 003 is not an integer, and therefore 748 003 is not a square number.

Anyway, 748 003 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 748 003) is the result of the product of this number (748 003) by itself (i.e., 748 003 × 748 003); the square of 748 003 is sometimes called "raising 748 003 to the power 2", or "748 003 squared".

The square of 748 003 is 559 508 488 009 because 748 003 × 748 003 = 748 003² = 559 508 488 009.

As a consequence, 748 003 is the square root of 559 508 488 009.

748 003 is a number with 6 digits.

The multiples of 748 003 are all integers evenly divisible by 748 003, that is all numbers such that the remainder of the division by 748 003 is zero. There are infinitely many multiples of 748 003. The smallest multiples of 748 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 748 003 too, since 0 × 748 003 = 0
• 748 003: indeed, 748 003 is a multiple of itself, since 748 003 is evenly divisible by 748 003 (we have 748 003 / 748 003 = 1, so the remainder of this division is indeed zero)
• 1 496 006: indeed, 1 496 006 = 748 003 × 2
• 2 244 009: indeed, 2 244 009 = 748 003 × 3
• 2 992 012: indeed, 2 992 012 = 748 003 × 4
• 3 740 015: indeed, 3 740 015 = 748 003 × 5
• etc.

• Preceding numbers: …748 001, 748 002
• Following numbers: 748 004, 748 005…

Nearest numbers from 748 003

• Preceding prime number: 747 991
• Following prime number: 748 019

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• 748 003 est-il un nombre premier ?