Is 2791 a prime number? What are the divisors of 2791?

## Is 2791 a prime number?

Yes, 2791 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 2791, the only two divisors are 1 and 2791. Therefore 2791 is a prime number.

As a consequence, 2791 is only a multiple of 1 and 2791.

Since 2791 is a prime number, 2791 is also a deficient number, that is to say 2791 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2791 without 2791 itself (that is 1, by definition!).

## Parity of 2791

2791 is an odd number, because it is not evenly divisible by 2.

## Is 2791 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 2791 is about 52.830.

Thus, the square root of 2791 is not an integer, and therefore 2791 is not a square number.

Anyway, 2791 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2791?

The square of a number (here 2791) is the result of the product of this number (2791) by itself (i.e., 2791 × 2791); the square of 2791 is sometimes called "raising 2791 to the power 2", or "2791 squared".

The square of 2791 is 7 789 681 because 2791 × 2791 = 27912 = 7 789 681.

As a consequence, 2791 is the square root of 7 789 681.

## Number of digits of 2791

2791 is a number with 4 digits.

## What are the multiples of 2791?

The multiples of 2791 are all integers evenly divisible by 2791, that is all numbers such that the remainder of the division by 2791 is zero. There are infinitely many multiples of 2791. The smallest multiples of 2791 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2791 too, since 0 × 2791 = 0
• 2791: indeed, 2791 is a multiple of itself, since 2791 is evenly divisible by 2791 (we have 2791 / 2791 = 1, so the remainder of this division is indeed zero)
• 5 582: indeed, 5 582 = 2791 × 2
• 8 373: indeed, 8 373 = 2791 × 3
• 11 164: indeed, 11 164 = 2791 × 4
• 13 955: indeed, 13 955 = 2791 × 5
• etc.

## Nearest numbers from 2791

Find out whether some integer is a prime number