Is 10331 a prime number? What are the divisors of 10331?

## Is 10331 a prime number?

Yes, 10331 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 10331, the only two divisors are 1 and 10331. Therefore 10331 is a prime number.

As a consequence, 10331 is only a multiple of 1 and 10331.

Since 10331 is a prime number, 10331 is also a deficient number, that is to say 10331 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10331 without 10331 itself (that is 1, by definition!).

## Parity of 10331

10331 is an odd number, because it is not evenly divisible by 2.

## Is 10331 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 10331 is about 101.642.

Thus, the square root of 10331 is not an integer, and therefore 10331 is not a square number.

Anyway, 10331 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10331?

The square of a number (here 10331) is the result of the product of this number (10331) by itself (i.e., 10331 × 10331); the square of 10331 is sometimes called "raising 10331 to the power 2", or "10331 squared".

The square of 10331 is 106 729 561 because 10331 × 10331 = 103312 = 106 729 561.

As a consequence, 10331 is the square root of 106 729 561.

## Number of digits of 10331

10331 is a number with 5 digits.

## What are the multiples of 10331?

The multiples of 10331 are all integers evenly divisible by 10331, that is all numbers such that the remainder of the division by 10331 is zero. There are infinitely many multiples of 10331. The smallest multiples of 10331 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10331 too, since 0 × 10331 = 0
• 10331: indeed, 10331 is a multiple of itself, since 10331 is evenly divisible by 10331 (we have 10331 / 10331 = 1, so the remainder of this division is indeed zero)
• 20 662: indeed, 20 662 = 10331 × 2
• 30 993: indeed, 30 993 = 10331 × 3
• 41 324: indeed, 41 324 = 10331 × 4
• 51 655: indeed, 51 655 = 10331 × 5
• etc.

## Nearest numbers from 10331

Find out whether some integer is a prime number