Is 2243 a prime number? What are the divisors of 2243?

## Is 2243 a prime number?

Yes, 2243 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 2243, the only two divisors are 1 and 2243. Therefore 2243 is a prime number.

As a consequence, 2243 is only a multiple of 1 and 2243.

Since 2243 is a prime number, 2243 is also a deficient number, that is to say 2243 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2243 without 2243 itself (that is 1, by definition!).

## Parity of 2243

2243 is an odd number, because it is not evenly divisible by 2.

## Is 2243 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 2243 is about 47.360.

Thus, the square root of 2243 is not an integer, and therefore 2243 is not a square number.

Anyway, 2243 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2243?

The square of a number (here 2243) is the result of the product of this number (2243) by itself (i.e., 2243 × 2243); the square of 2243 is sometimes called "raising 2243 to the power 2", or "2243 squared".

The square of 2243 is 5 031 049 because 2243 × 2243 = 22432 = 5 031 049.

As a consequence, 2243 is the square root of 5 031 049.

## Number of digits of 2243

2243 is a number with 4 digits.

## What are the multiples of 2243?

The multiples of 2243 are all integers evenly divisible by 2243, that is all numbers such that the remainder of the division by 2243 is zero. There are infinitely many multiples of 2243. The smallest multiples of 2243 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2243 too, since 0 × 2243 = 0
• 2243: indeed, 2243 is a multiple of itself, since 2243 is evenly divisible by 2243 (we have 2243 / 2243 = 1, so the remainder of this division is indeed zero)
• 4 486: indeed, 4 486 = 2243 × 2
• 6 729: indeed, 6 729 = 2243 × 3
• 8 972: indeed, 8 972 = 2243 × 4
• 11 215: indeed, 11 215 = 2243 × 5
• etc.

## Nearest numbers from 2243

Find out whether some integer is a prime number