Is 2707 a prime number? What are the divisors of 2707?

## Is 2707 a prime number?

Yes, 2707 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 2707, the only two divisors are 1 and 2707. Therefore 2707 is a prime number.

As a consequence, 2707 is only a multiple of 1 and 2707.

Since 2707 is a prime number, 2707 is also a deficient number, that is to say 2707 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2707 without 2707 itself (that is 1, by definition!).

## Parity of 2707

2707 is an odd number, because it is not evenly divisible by 2.

## Is 2707 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 2707 is about 52.029.

Thus, the square root of 2707 is not an integer, and therefore 2707 is not a square number.

Anyway, 2707 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2707?

The square of a number (here 2707) is the result of the product of this number (2707) by itself (i.e., 2707 × 2707); the square of 2707 is sometimes called "raising 2707 to the power 2", or "2707 squared".

The square of 2707 is 7 327 849 because 2707 × 2707 = 27072 = 7 327 849.

As a consequence, 2707 is the square root of 7 327 849.

## Number of digits of 2707

2707 is a number with 4 digits.

## What are the multiples of 2707?

The multiples of 2707 are all integers evenly divisible by 2707, that is all numbers such that the remainder of the division by 2707 is zero. There are infinitely many multiples of 2707. The smallest multiples of 2707 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2707 too, since 0 × 2707 = 0
• 2707: indeed, 2707 is a multiple of itself, since 2707 is evenly divisible by 2707 (we have 2707 / 2707 = 1, so the remainder of this division is indeed zero)
• 5 414: indeed, 5 414 = 2707 × 2
• 8 121: indeed, 8 121 = 2707 × 3
• 10 828: indeed, 10 828 = 2707 × 4
• 13 535: indeed, 13 535 = 2707 × 5
• etc.

## Nearest numbers from 2707

Find out whether some integer is a prime number