Is 30059 a prime number? What are the divisors of 30059?

## Is 30059 a prime number?

Yes, 30059 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 30059, the only two divisors are 1 and 30059. Therefore 30059 is a prime number.

As a consequence, 30059 is only a multiple of 1 and 30059.

Since 30059 is a prime number, 30059 is also a deficient number, that is to say 30059 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 30059 without 30059 itself (that is 1, by definition!).

## Parity of 30059

30059 is an odd number, because it is not evenly divisible by 2.

## Is 30059 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 30059 is about 173.375.

Thus, the square root of 30059 is not an integer, and therefore 30059 is not a square number.

Anyway, 30059 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 30059?

The square of a number (here 30059) is the result of the product of this number (30059) by itself (i.e., 30059 × 30059); the square of 30059 is sometimes called "raising 30059 to the power 2", or "30059 squared".

The square of 30059 is 903 543 481 because 30059 × 30059 = 300592 = 903 543 481.

As a consequence, 30059 is the square root of 903 543 481.

## Number of digits of 30059

30059 is a number with 5 digits.

## What are the multiples of 30059?

The multiples of 30059 are all integers evenly divisible by 30059, that is all numbers such that the remainder of the division by 30059 is zero. There are infinitely many multiples of 30059. The smallest multiples of 30059 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 30059 too, since 0 × 30059 = 0
• 30059: indeed, 30059 is a multiple of itself, since 30059 is evenly divisible by 30059 (we have 30059 / 30059 = 1, so the remainder of this division is indeed zero)
• 60 118: indeed, 60 118 = 30059 × 2
• 90 177: indeed, 90 177 = 30059 × 3
• 120 236: indeed, 120 236 = 30059 × 4
• 150 295: indeed, 150 295 = 30059 × 5
• etc.

## Nearest numbers from 30059

Find out whether some integer is a prime number