Is 10079 a prime number? What are the divisors of 10079?

## Is 10079 a prime number?

Yes, 10079 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 10079, the only two divisors are 1 and 10079. Therefore 10079 is a prime number.

As a consequence, 10079 is only a multiple of 1 and 10079.

Since 10079 is a prime number, 10079 is also a deficient number, that is to say 10079 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10079 without 10079 itself (that is 1, by definition!).

## Parity of 10079

10079 is an odd number, because it is not evenly divisible by 2.

## Is 10079 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 10079 is about 100.394.

Thus, the square root of 10079 is not an integer, and therefore 10079 is not a square number.

Anyway, 10079 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10079?

The square of a number (here 10079) is the result of the product of this number (10079) by itself (i.e., 10079 × 10079); the square of 10079 is sometimes called "raising 10079 to the power 2", or "10079 squared".

The square of 10079 is 101 586 241 because 10079 × 10079 = 100792 = 101 586 241.

As a consequence, 10079 is the square root of 101 586 241.

## Number of digits of 10079

10079 is a number with 5 digits.

## What are the multiples of 10079?

The multiples of 10079 are all integers evenly divisible by 10079, that is all numbers such that the remainder of the division by 10079 is zero. There are infinitely many multiples of 10079. The smallest multiples of 10079 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10079 too, since 0 × 10079 = 0
• 10079: indeed, 10079 is a multiple of itself, since 10079 is evenly divisible by 10079 (we have 10079 / 10079 = 1, so the remainder of this division is indeed zero)
• 20 158: indeed, 20 158 = 10079 × 2
• 30 237: indeed, 30 237 = 10079 × 3
• 40 316: indeed, 40 316 = 10079 × 4
• 50 395: indeed, 50 395 = 10079 × 5
• etc.

## Nearest numbers from 10079

Find out whether some integer is a prime number