Is 2659 a prime number? What are the divisors of 2659?

## Is 2659 a prime number?

Yes, 2659 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 2659, the only two divisors are 1 and 2659. Therefore 2659 is a prime number.

As a consequence, 2659 is only a multiple of 1 and 2659.

Since 2659 is a prime number, 2659 is also a deficient number, that is to say 2659 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2659 without 2659 itself (that is 1, by definition!).

## Parity of 2659

2659 is an odd number, because it is not evenly divisible by 2.

## Is 2659 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 2659 is about 51.565.

Thus, the square root of 2659 is not an integer, and therefore 2659 is not a square number.

Anyway, 2659 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2659?

The square of a number (here 2659) is the result of the product of this number (2659) by itself (i.e., 2659 × 2659); the square of 2659 is sometimes called "raising 2659 to the power 2", or "2659 squared".

The square of 2659 is 7 070 281 because 2659 × 2659 = 26592 = 7 070 281.

As a consequence, 2659 is the square root of 7 070 281.

## Number of digits of 2659

2659 is a number with 4 digits.

## What are the multiples of 2659?

The multiples of 2659 are all integers evenly divisible by 2659, that is all numbers such that the remainder of the division by 2659 is zero. There are infinitely many multiples of 2659. The smallest multiples of 2659 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2659 too, since 0 × 2659 = 0
• 2659: indeed, 2659 is a multiple of itself, since 2659 is evenly divisible by 2659 (we have 2659 / 2659 = 1, so the remainder of this division is indeed zero)
• 5 318: indeed, 5 318 = 2659 × 2
• 7 977: indeed, 7 977 = 2659 × 3
• 10 636: indeed, 10 636 = 2659 × 4
• 13 295: indeed, 13 295 = 2659 × 5
• etc.

## Nearest numbers from 2659

Find out whether some integer is a prime number