Is 10223 a prime number? What are the divisors of 10223?

## Is 10223 a prime number?

Yes, 10223 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 10223, the only two divisors are 1 and 10223. Therefore 10223 is a prime number.

As a consequence, 10223 is only a multiple of 1 and 10223.

Since 10223 is a prime number, 10223 is also a deficient number, that is to say 10223 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10223 without 10223 itself (that is 1, by definition!).

## Parity of 10223

10223 is an odd number, because it is not evenly divisible by 2.

## Is 10223 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 10223 is about 101.109.

Thus, the square root of 10223 is not an integer, and therefore 10223 is not a square number.

Anyway, 10223 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10223?

The square of a number (here 10223) is the result of the product of this number (10223) by itself (i.e., 10223 × 10223); the square of 10223 is sometimes called "raising 10223 to the power 2", or "10223 squared".

The square of 10223 is 104 509 729 because 10223 × 10223 = 102232 = 104 509 729.

As a consequence, 10223 is the square root of 104 509 729.

## Number of digits of 10223

10223 is a number with 5 digits.

## What are the multiples of 10223?

The multiples of 10223 are all integers evenly divisible by 10223, that is all numbers such that the remainder of the division by 10223 is zero. There are infinitely many multiples of 10223. The smallest multiples of 10223 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10223 too, since 0 × 10223 = 0
• 10223: indeed, 10223 is a multiple of itself, since 10223 is evenly divisible by 10223 (we have 10223 / 10223 = 1, so the remainder of this division is indeed zero)
• 20 446: indeed, 20 446 = 10223 × 2
• 30 669: indeed, 30 669 = 10223 × 3
• 40 892: indeed, 40 892 = 10223 × 4
• 51 115: indeed, 51 115 = 10223 × 5
• etc.

## Nearest numbers from 10223

Find out whether some integer is a prime number