Is 3019 a prime number? What are the divisors of 3019?

## Is 3019 a prime number?

Yes, 3019 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 3019, the only two divisors are 1 and 3019. Therefore 3019 is a prime number.

As a consequence, 3019 is only a multiple of 1 and 3019.

Since 3019 is a prime number, 3019 is also a deficient number, that is to say 3019 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3019 without 3019 itself (that is 1, by definition!).

## Parity of 3019

3019 is an odd number, because it is not evenly divisible by 2.

## Is 3019 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 3019 is about 54.945.

Thus, the square root of 3019 is not an integer, and therefore 3019 is not a square number.

Anyway, 3019 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3019?

The square of a number (here 3019) is the result of the product of this number (3019) by itself (i.e., 3019 × 3019); the square of 3019 is sometimes called "raising 3019 to the power 2", or "3019 squared".

The square of 3019 is 9 114 361 because 3019 × 3019 = 30192 = 9 114 361.

As a consequence, 3019 is the square root of 9 114 361.

## Number of digits of 3019

3019 is a number with 4 digits.

## What are the multiples of 3019?

The multiples of 3019 are all integers evenly divisible by 3019, that is all numbers such that the remainder of the division by 3019 is zero. There are infinitely many multiples of 3019. The smallest multiples of 3019 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3019 too, since 0 × 3019 = 0
• 3019: indeed, 3019 is a multiple of itself, since 3019 is evenly divisible by 3019 (we have 3019 / 3019 = 1, so the remainder of this division is indeed zero)
• 6 038: indeed, 6 038 = 3019 × 2
• 9 057: indeed, 9 057 = 3019 × 3
• 12 076: indeed, 12 076 = 3019 × 4
• 15 095: indeed, 15 095 = 3019 × 5
• etc.

## Nearest numbers from 3019

Find out whether some integer is a prime number