Is 10979 a prime number? What are the divisors of 10979?

## Is 10979 a prime number?

Yes, 10979 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 10979, the only two divisors are 1 and 10979. Therefore 10979 is a prime number.

As a consequence, 10979 is only a multiple of 1 and 10979.

Since 10979 is a prime number, 10979 is also a deficient number, that is to say 10979 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10979 without 10979 itself (that is 1, by definition!).

## Parity of 10979

10979 is an odd number, because it is not evenly divisible by 2.

## Is 10979 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 10979 is about 104.781.

Thus, the square root of 10979 is not an integer, and therefore 10979 is not a square number.

Anyway, 10979 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10979?

The square of a number (here 10979) is the result of the product of this number (10979) by itself (i.e., 10979 × 10979); the square of 10979 is sometimes called "raising 10979 to the power 2", or "10979 squared".

The square of 10979 is 120 538 441 because 10979 × 10979 = 109792 = 120 538 441.

As a consequence, 10979 is the square root of 120 538 441.

## Number of digits of 10979

10979 is a number with 5 digits.

## What are the multiples of 10979?

The multiples of 10979 are all integers evenly divisible by 10979, that is all numbers such that the remainder of the division by 10979 is zero. There are infinitely many multiples of 10979. The smallest multiples of 10979 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10979 too, since 0 × 10979 = 0
• 10979: indeed, 10979 is a multiple of itself, since 10979 is evenly divisible by 10979 (we have 10979 / 10979 = 1, so the remainder of this division is indeed zero)
• 21 958: indeed, 21 958 = 10979 × 2
• 32 937: indeed, 32 937 = 10979 × 3
• 43 916: indeed, 43 916 = 10979 × 4
• 54 895: indeed, 54 895 = 10979 × 5
• etc.

## Nearest numbers from 10979

Find out whether some integer is a prime number