Is 3319 a prime number? What are the divisors of 3319?

## Is 3319 a prime number?

Yes, 3319 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 3319, the only two divisors are 1 and 3319. Therefore 3319 is a prime number.

As a consequence, 3319 is only a multiple of 1 and 3319.

Since 3319 is a prime number, 3319 is also a deficient number, that is to say 3319 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3319 without 3319 itself (that is 1, by definition!).

## Parity of 3319

3319 is an odd number, because it is not evenly divisible by 2.

## Is 3319 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 3319 is about 57.611.

Thus, the square root of 3319 is not an integer, and therefore 3319 is not a square number.

Anyway, 3319 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3319?

The square of a number (here 3319) is the result of the product of this number (3319) by itself (i.e., 3319 × 3319); the square of 3319 is sometimes called "raising 3319 to the power 2", or "3319 squared".

The square of 3319 is 11 015 761 because 3319 × 3319 = 33192 = 11 015 761.

As a consequence, 3319 is the square root of 11 015 761.

## Number of digits of 3319

3319 is a number with 4 digits.

## What are the multiples of 3319?

The multiples of 3319 are all integers evenly divisible by 3319, that is all numbers such that the remainder of the division by 3319 is zero. There are infinitely many multiples of 3319. The smallest multiples of 3319 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3319 too, since 0 × 3319 = 0
• 3319: indeed, 3319 is a multiple of itself, since 3319 is evenly divisible by 3319 (we have 3319 / 3319 = 1, so the remainder of this division is indeed zero)
• 6 638: indeed, 6 638 = 3319 × 2
• 9 957: indeed, 9 957 = 3319 × 3
• 13 276: indeed, 13 276 = 3319 × 4
• 16 595: indeed, 16 595 = 3319 × 5
• etc.

## Nearest numbers from 3319

Find out whether some integer is a prime number