Is 3089 a prime number? What are the divisors of 3089?

## Is 3089 a prime number?

Yes, 3089 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 3089, the only two divisors are 1 and 3089. Therefore 3089 is a prime number.

As a consequence, 3089 is only a multiple of 1 and 3089.

Since 3089 is a prime number, 3089 is also a deficient number, that is to say 3089 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3089 without 3089 itself (that is 1, by definition!).

## Parity of 3089

3089 is an odd number, because it is not evenly divisible by 2.

## Is 3089 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 3089 is about 55.579.

Thus, the square root of 3089 is not an integer, and therefore 3089 is not a square number.

Anyway, 3089 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3089?

The square of a number (here 3089) is the result of the product of this number (3089) by itself (i.e., 3089 × 3089); the square of 3089 is sometimes called "raising 3089 to the power 2", or "3089 squared".

The square of 3089 is 9 541 921 because 3089 × 3089 = 30892 = 9 541 921.

As a consequence, 3089 is the square root of 9 541 921.

## Number of digits of 3089

3089 is a number with 4 digits.

## What are the multiples of 3089?

The multiples of 3089 are all integers evenly divisible by 3089, that is all numbers such that the remainder of the division by 3089 is zero. There are infinitely many multiples of 3089. The smallest multiples of 3089 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3089 too, since 0 × 3089 = 0
• 3089: indeed, 3089 is a multiple of itself, since 3089 is evenly divisible by 3089 (we have 3089 / 3089 = 1, so the remainder of this division is indeed zero)
• 6 178: indeed, 6 178 = 3089 × 2
• 9 267: indeed, 9 267 = 3089 × 3
• 12 356: indeed, 12 356 = 3089 × 4
• 15 445: indeed, 15 445 = 3089 × 5
• etc.

## Nearest numbers from 3089

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