Is 5309 a prime number? What are the divisors of 5309?

## Is 5309 a prime number?

Yes, 5309 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 5309, the only two divisors are 1 and 5309. Therefore 5309 is a prime number.

As a consequence, 5309 is only a multiple of 1 and 5309.

Since 5309 is a prime number, 5309 is also a deficient number, that is to say 5309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5309 without 5309 itself (that is 1, by definition!).

## Parity of 5309

5309 is an odd number, because it is not evenly divisible by 2.

## Is 5309 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 5309 is about 72.863.

Thus, the square root of 5309 is not an integer, and therefore 5309 is not a square number.

Anyway, 5309 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5309?

The square of a number (here 5309) is the result of the product of this number (5309) by itself (i.e., 5309 × 5309); the square of 5309 is sometimes called "raising 5309 to the power 2", or "5309 squared".

The square of 5309 is 28 185 481 because 5309 × 5309 = 53092 = 28 185 481.

As a consequence, 5309 is the square root of 28 185 481.

## Number of digits of 5309

5309 is a number with 4 digits.

## What are the multiples of 5309?

The multiples of 5309 are all integers evenly divisible by 5309, that is all numbers such that the remainder of the division by 5309 is zero. There are infinitely many multiples of 5309. The smallest multiples of 5309 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5309 too, since 0 × 5309 = 0
• 5309: indeed, 5309 is a multiple of itself, since 5309 is evenly divisible by 5309 (we have 5309 / 5309 = 1, so the remainder of this division is indeed zero)
• 10 618: indeed, 10 618 = 5309 × 2
• 15 927: indeed, 15 927 = 5309 × 3
• 21 236: indeed, 21 236 = 5309 × 4
• 26 545: indeed, 26 545 = 5309 × 5
• etc.

## Nearest numbers from 5309

Find out whether some integer is a prime number