Is 10733 a prime number? What are the divisors of 10733?

## Is 10733 a prime number?

Yes, 10733 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 10733, the only two divisors are 1 and 10733. Therefore 10733 is a prime number.

As a consequence, 10733 is only a multiple of 1 and 10733.

Since 10733 is a prime number, 10733 is also a deficient number, that is to say 10733 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10733 without 10733 itself (that is 1, by definition!).

## Parity of 10733

10733 is an odd number, because it is not evenly divisible by 2.

## Is 10733 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 10733 is about 103.600.

Thus, the square root of 10733 is not an integer, and therefore 10733 is not a square number.

Anyway, 10733 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10733?

The square of a number (here 10733) is the result of the product of this number (10733) by itself (i.e., 10733 × 10733); the square of 10733 is sometimes called "raising 10733 to the power 2", or "10733 squared".

The square of 10733 is 115 197 289 because 10733 × 10733 = 107332 = 115 197 289.

As a consequence, 10733 is the square root of 115 197 289.

## Number of digits of 10733

10733 is a number with 5 digits.

## What are the multiples of 10733?

The multiples of 10733 are all integers evenly divisible by 10733, that is all numbers such that the remainder of the division by 10733 is zero. There are infinitely many multiples of 10733. The smallest multiples of 10733 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10733 too, since 0 × 10733 = 0
• 10733: indeed, 10733 is a multiple of itself, since 10733 is evenly divisible by 10733 (we have 10733 / 10733 = 1, so the remainder of this division is indeed zero)
• 21 466: indeed, 21 466 = 10733 × 2
• 32 199: indeed, 32 199 = 10733 × 3
• 42 932: indeed, 42 932 = 10733 × 4
• 53 665: indeed, 53 665 = 10733 × 5
• etc.

## Nearest numbers from 10733

Find out whether some integer is a prime number