Is 11743 a prime number? What are the divisors of 11743?

## Is 11743 a prime number?

Yes, 11743 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 11743, the only two divisors are 1 and 11743. Therefore 11743 is a prime number.

As a consequence, 11743 is only a multiple of 1 and 11743.

Since 11743 is a prime number, 11743 is also a deficient number, that is to say 11743 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11743 without 11743 itself (that is 1, by definition!).

## Parity of 11743

11743 is an odd number, because it is not evenly divisible by 2.

## Is 11743 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 11743 is about 108.365.

Thus, the square root of 11743 is not an integer, and therefore 11743 is not a square number.

Anyway, 11743 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11743?

The square of a number (here 11743) is the result of the product of this number (11743) by itself (i.e., 11743 × 11743); the square of 11743 is sometimes called "raising 11743 to the power 2", or "11743 squared".

The square of 11743 is 137 898 049 because 11743 × 11743 = 117432 = 137 898 049.

As a consequence, 11743 is the square root of 137 898 049.

## Number of digits of 11743

11743 is a number with 5 digits.

## What are the multiples of 11743?

The multiples of 11743 are all integers evenly divisible by 11743, that is all numbers such that the remainder of the division by 11743 is zero. There are infinitely many multiples of 11743. The smallest multiples of 11743 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11743 too, since 0 × 11743 = 0
• 11743: indeed, 11743 is a multiple of itself, since 11743 is evenly divisible by 11743 (we have 11743 / 11743 = 1, so the remainder of this division is indeed zero)
• 23 486: indeed, 23 486 = 11743 × 2
• 35 229: indeed, 35 229 = 11743 × 3
• 46 972: indeed, 46 972 = 11743 × 4
• 58 715: indeed, 58 715 = 11743 × 5
• etc.

## Nearest numbers from 11743

Find out whether some integer is a prime number