Is 10313 a prime number? What are the divisors of 10313?

## Is 10313 a prime number?

Yes, 10313 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 10313, the only two divisors are 1 and 10313. Therefore 10313 is a prime number.

As a consequence, 10313 is only a multiple of 1 and 10313.

Since 10313 is a prime number, 10313 is also a deficient number, that is to say 10313 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10313 without 10313 itself (that is 1, by definition!).

## Parity of 10313

10313 is an odd number, because it is not evenly divisible by 2.

## Is 10313 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 10313 is about 101.553.

Thus, the square root of 10313 is not an integer, and therefore 10313 is not a square number.

Anyway, 10313 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10313?

The square of a number (here 10313) is the result of the product of this number (10313) by itself (i.e., 10313 × 10313); the square of 10313 is sometimes called "raising 10313 to the power 2", or "10313 squared".

The square of 10313 is 106 357 969 because 10313 × 10313 = 103132 = 106 357 969.

As a consequence, 10313 is the square root of 106 357 969.

## Number of digits of 10313

10313 is a number with 5 digits.

## What are the multiples of 10313?

The multiples of 10313 are all integers evenly divisible by 10313, that is all numbers such that the remainder of the division by 10313 is zero. There are infinitely many multiples of 10313. The smallest multiples of 10313 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10313 too, since 0 × 10313 = 0
• 10313: indeed, 10313 is a multiple of itself, since 10313 is evenly divisible by 10313 (we have 10313 / 10313 = 1, so the remainder of this division is indeed zero)
• 20 626: indeed, 20 626 = 10313 × 2
• 30 939: indeed, 30 939 = 10313 × 3
• 41 252: indeed, 41 252 = 10313 × 4
• 51 565: indeed, 51 565 = 10313 × 5
• etc.

## Nearest numbers from 10313

Find out whether some integer is a prime number