Is 10723 a prime number? What are the divisors of 10723?

## Is 10723 a prime number?

Yes, 10723 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 10723, the only two divisors are 1 and 10723. Therefore 10723 is a prime number.

As a consequence, 10723 is only a multiple of 1 and 10723.

Since 10723 is a prime number, 10723 is also a deficient number, that is to say 10723 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10723 without 10723 itself (that is 1, by definition!).

## Parity of 10723

10723 is an odd number, because it is not evenly divisible by 2.

## Is 10723 a perfect square 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 10723 is about 103.552.

Thus, the square root of 10723 is not an integer, and therefore 10723 is not a square number.

Anyway, 10723 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10723?

The square of a number (here 10723) is the result of the product of this number (10723) by itself (i.e., 10723 × 10723); the square of 10723 is sometimes called "raising 10723 to the power 2", or "10723 squared".

The square of 10723 is 114 982 729 because 10723 × 10723 = 107232 = 114 982 729.

As a consequence, 10723 is the square root of 114 982 729.

## Number of digits of 10723

10723 is a number with 5 digits.

## What are the multiples of 10723?

The multiples of 10723 are all integers evenly divisible by 10723, that is all numbers such that the remainder of the division by 10723 is zero. There are infinitely many multiples of 10723. The smallest multiples of 10723 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10723 too, since 0 × 10723 = 0
• 10723: indeed, 10723 is a multiple of itself, since 10723 is evenly divisible by 10723 (we have 10723 / 10723 = 1, so the remainder of this division is indeed zero)
• 21 446: indeed, 21 446 = 10723 × 2
• 32 169: indeed, 32 169 = 10723 × 3
• 42 892: indeed, 42 892 = 10723 × 4
• 53 615: indeed, 53 615 = 10723 × 5
• etc.

## Nearest numbers from 10723

Find out whether some integer is a prime number