Is 4243 a prime number? What are the divisors of 4243?

## Is 4243 a prime number?

Yes, 4243 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 4243, the only two divisors are 1 and 4243. Therefore 4243 is a prime number.

As a consequence, 4243 is only a multiple of 1 and 4243.

Since 4243 is a prime number, 4243 is also a deficient number, that is to say 4243 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4243 without 4243 itself (that is 1, by definition!).

## Parity of 4243

4243 is an odd number, because it is not evenly divisible by 2.

## Is 4243 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 4243 is about 65.138.

Thus, the square root of 4243 is not an integer, and therefore 4243 is not a square number.

Anyway, 4243 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4243?

The square of a number (here 4243) is the result of the product of this number (4243) by itself (i.e., 4243 × 4243); the square of 4243 is sometimes called "raising 4243 to the power 2", or "4243 squared".

The square of 4243 is 18 003 049 because 4243 × 4243 = 42432 = 18 003 049.

As a consequence, 4243 is the square root of 18 003 049.

## Number of digits of 4243

4243 is a number with 4 digits.

## What are the multiples of 4243?

The multiples of 4243 are all integers evenly divisible by 4243, that is all numbers such that the remainder of the division by 4243 is zero. There are infinitely many multiples of 4243. The smallest multiples of 4243 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4243 too, since 0 × 4243 = 0
• 4243: indeed, 4243 is a multiple of itself, since 4243 is evenly divisible by 4243 (we have 4243 / 4243 = 1, so the remainder of this division is indeed zero)
• 8 486: indeed, 8 486 = 4243 × 2
• 12 729: indeed, 12 729 = 4243 × 3
• 16 972: indeed, 16 972 = 4243 × 4
• 21 215: indeed, 21 215 = 4243 × 5
• etc.

## Nearest numbers from 4243

Find out whether some integer is a prime number