Is 8123 a prime number? What are the divisors of 8123?

## Is 8123 a prime number?

Yes, 8123 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 8123, the only two divisors are 1 and 8123. Therefore 8123 is a prime number.

As a consequence, 8123 is only a multiple of 1 and 8123.

Since 8123 is a prime number, 8123 is also a deficient number, that is to say 8123 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8123 without 8123 itself (that is 1, by definition!).

## Parity of 8123

8123 is an odd number, because it is not evenly divisible by 2.

## Is 8123 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 8123 is about 90.128.

Thus, the square root of 8123 is not an integer, and therefore 8123 is not a square number.

Anyway, 8123 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8123?

The square of a number (here 8123) is the result of the product of this number (8123) by itself (i.e., 8123 × 8123); the square of 8123 is sometimes called "raising 8123 to the power 2", or "8123 squared".

The square of 8123 is 65 983 129 because 8123 × 8123 = 81232 = 65 983 129.

As a consequence, 8123 is the square root of 65 983 129.

## Number of digits of 8123

8123 is a number with 4 digits.

## What are the multiples of 8123?

The multiples of 8123 are all integers evenly divisible by 8123, that is all numbers such that the remainder of the division by 8123 is zero. There are infinitely many multiples of 8123. The smallest multiples of 8123 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8123 too, since 0 × 8123 = 0
• 8123: indeed, 8123 is a multiple of itself, since 8123 is evenly divisible by 8123 (we have 8123 / 8123 = 1, so the remainder of this division is indeed zero)
• 16 246: indeed, 16 246 = 8123 × 2
• 24 369: indeed, 24 369 = 8123 × 3
• 32 492: indeed, 32 492 = 8123 × 4
• 40 615: indeed, 40 615 = 8123 × 5
• etc.

## Nearest numbers from 8123

Find out whether some integer is a prime number