Is 10723 a prime number?

10 723 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 10 723 is about 103.552.

Thus, the square root of 10 723 is not an integer, and therefore 10 723 is not a square number.

Anyway, 10 723 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 10 723) is the result of the product of this number (10 723) by itself (i.e., 10 723 × 10 723); the square of 10 723 is sometimes called "raising 10 723 to the power 2", or "10 723 squared".

The square of 10 723 is 114 982 729 because 10 723 × 10 723 = 10 723² = 114 982 729.

As a consequence, 10 723 is the square root of 114 982 729.

10 723 is a number with 5 digits.

The multiples of 10 723 are all integers evenly divisible by 10 723, that is all numbers such that the remainder of the division by 10 723 is zero. There are infinitely many multiples of 10 723. The smallest multiples of 10 723 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 723 too, since 0 × 10 723 = 0
• 10 723: indeed, 10 723 is a multiple of itself, since 10 723 is evenly divisible by 10 723 (we have 10 723 / 10 723 = 1, so the remainder of this division is indeed zero)
• 21 446: indeed, 21 446 = 10 723 × 2
• 32 169: indeed, 32 169 = 10 723 × 3
• 42 892: indeed, 42 892 = 10 723 × 4
• 53 615: indeed, 53 615 = 10 723 × 5
• etc.

• Preceding numbers: …10 721, 10 722
• Following numbers: 10 724, 10 725…

Nearest numbers from 10 723

• Preceding prime number: 10 711
• Following prime number: 10 729

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• 10 723 est-il un nombre premier ?