Is 2143 a prime number? What are the divisors of 2143?

## Is 2143 a prime number?

Yes, 2143 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 2143, the only two divisors are 1 and 2143. Therefore 2143 is a prime number.

As a consequence, 2143 is only a multiple of 1 and 2143.

Since 2143 is a prime number, 2143 is also a deficient number, that is to say 2143 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2143 without 2143 itself (that is 1, by definition!).

## Parity of 2143

2143 is an odd number, because it is not evenly divisible by 2.

## Is 2143 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 2143 is about 46.293.

Thus, the square root of 2143 is not an integer, and therefore 2143 is not a square number.

Anyway, 2143 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2143?

The square of a number (here 2143) is the result of the product of this number (2143) by itself (i.e., 2143 × 2143); the square of 2143 is sometimes called "raising 2143 to the power 2", or "2143 squared".

The square of 2143 is 4 592 449 because 2143 × 2143 = 21432 = 4 592 449.

As a consequence, 2143 is the square root of 4 592 449.

## Number of digits of 2143

2143 is a number with 4 digits.

## What are the multiples of 2143?

The multiples of 2143 are all integers evenly divisible by 2143, that is all numbers such that the remainder of the division by 2143 is zero. There are infinitely many multiples of 2143. The smallest multiples of 2143 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2143 too, since 0 × 2143 = 0
• 2143: indeed, 2143 is a multiple of itself, since 2143 is evenly divisible by 2143 (we have 2143 / 2143 = 1, so the remainder of this division is indeed zero)
• 4 286: indeed, 4 286 = 2143 × 2
• 6 429: indeed, 6 429 = 2143 × 3
• 8 572: indeed, 8 572 = 2143 × 4
• 10 715: indeed, 10 715 = 2143 × 5
• etc.

## Nearest numbers from 2143

Find out whether some integer is a prime number