Is 10729 a prime number? What are the divisors of 10729?

## Is 10729 a prime number?

Yes, 10729 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 10729, the only two divisors are 1 and 10729. Therefore 10729 is a prime number.

As a consequence, 10729 is only a multiple of 1 and 10729.

Since 10729 is a prime number, 10729 is also a deficient number, that is to say 10729 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10729 without 10729 itself (that is 1, by definition!).

## Parity of 10729

10729 is an odd number, because it is not evenly divisible by 2.

## Is 10729 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 10729 is about 103.581.

Thus, the square root of 10729 is not an integer, and therefore 10729 is not a square number.

Anyway, 10729 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10729?

The square of a number (here 10729) is the result of the product of this number (10729) by itself (i.e., 10729 × 10729); the square of 10729 is sometimes called "raising 10729 to the power 2", or "10729 squared".

The square of 10729 is 115 111 441 because 10729 × 10729 = 107292 = 115 111 441.

As a consequence, 10729 is the square root of 115 111 441.

## Number of digits of 10729

10729 is a number with 5 digits.

## What are the multiples of 10729?

The multiples of 10729 are all integers evenly divisible by 10729, that is all numbers such that the remainder of the division by 10729 is zero. There are infinitely many multiples of 10729. The smallest multiples of 10729 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10729 too, since 0 × 10729 = 0
• 10729: indeed, 10729 is a multiple of itself, since 10729 is evenly divisible by 10729 (we have 10729 / 10729 = 1, so the remainder of this division is indeed zero)
• 21 458: indeed, 21 458 = 10729 × 2
• 32 187: indeed, 32 187 = 10729 × 3
• 42 916: indeed, 42 916 = 10729 × 4
• 53 645: indeed, 53 645 = 10729 × 5
• etc.

## Nearest numbers from 10729

Find out whether some integer is a prime number