Is 10301 a prime number? What are the divisors of 10301?

## Is 10301 a prime number?

Yes, 10301 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 10301, the only two divisors are 1 and 10301. Therefore 10301 is a prime number.

As a consequence, 10301 is only a multiple of 1 and 10301.

Since 10301 is a prime number, 10301 is also a deficient number, that is to say 10301 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10301 without 10301 itself (that is 1, by definition!).

## Parity of 10301

10301 is an odd number, because it is not evenly divisible by 2.

## Is 10301 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 10301 is about 101.494.

Thus, the square root of 10301 is not an integer, and therefore 10301 is not a square number.

Anyway, 10301 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10301?

The square of a number (here 10301) is the result of the product of this number (10301) by itself (i.e., 10301 × 10301); the square of 10301 is sometimes called "raising 10301 to the power 2", or "10301 squared".

The square of 10301 is 106 110 601 because 10301 × 10301 = 103012 = 106 110 601.

As a consequence, 10301 is the square root of 106 110 601.

## Number of digits of 10301

10301 is a number with 5 digits.

## What are the multiples of 10301?

The multiples of 10301 are all integers evenly divisible by 10301, that is all numbers such that the remainder of the division by 10301 is zero. There are infinitely many multiples of 10301. The smallest multiples of 10301 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10301 too, since 0 × 10301 = 0
• 10301: indeed, 10301 is a multiple of itself, since 10301 is evenly divisible by 10301 (we have 10301 / 10301 = 1, so the remainder of this division is indeed zero)
• 20 602: indeed, 20 602 = 10301 × 2
• 30 903: indeed, 30 903 = 10301 × 3
• 41 204: indeed, 41 204 = 10301 × 4
• 51 505: indeed, 51 505 = 10301 × 5
• etc.

## Nearest numbers from 10301

Find out whether some integer is a prime number