Is 30313 a prime number? What are the divisors of 30313?

## Is 30313 a prime number?

Yes, 30313 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 30313, the only two divisors are 1 and 30313. Therefore 30313 is a prime number.

As a consequence, 30313 is only a multiple of 1 and 30313.

Since 30313 is a prime number, 30313 is also a deficient number, that is to say 30313 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 30313 without 30313 itself (that is 1, by definition!).

## Parity of 30313

30313 is an odd number, because it is not evenly divisible by 2.

## Is 30313 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 30313 is about 174.106.

Thus, the square root of 30313 is not an integer, and therefore 30313 is not a square number.

Anyway, 30313 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 30313?

The square of a number (here 30313) is the result of the product of this number (30313) by itself (i.e., 30313 × 30313); the square of 30313 is sometimes called "raising 30313 to the power 2", or "30313 squared".

The square of 30313 is 918 877 969 because 30313 × 30313 = 303132 = 918 877 969.

As a consequence, 30313 is the square root of 918 877 969.

## Number of digits of 30313

30313 is a number with 5 digits.

## What are the multiples of 30313?

The multiples of 30313 are all integers evenly divisible by 30313, that is all numbers such that the remainder of the division by 30313 is zero. There are infinitely many multiples of 30313. The smallest multiples of 30313 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 30313 too, since 0 × 30313 = 0
• 30313: indeed, 30313 is a multiple of itself, since 30313 is evenly divisible by 30313 (we have 30313 / 30313 = 1, so the remainder of this division is indeed zero)
• 60 626: indeed, 60 626 = 30313 × 2
• 90 939: indeed, 90 939 = 30313 × 3
• 121 252: indeed, 121 252 = 30313 × 4
• 151 565: indeed, 151 565 = 30313 × 5
• etc.

## Nearest numbers from 30313

Find out whether some integer is a prime number