Is 1303 a prime number? What are the divisors of 1303?

## Is 1303 a prime number?

Yes, 1303 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 1303, the only two divisors are 1 and 1303. Therefore 1303 is a prime number.

As a consequence, 1303 is only a multiple of 1 and 1303.

Since 1303 is a prime number, 1303 is also a deficient number, that is to say 1303 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1303 without 1303 itself (that is 1, by definition!).

## Parity of 1303

1303 is an odd number, because it is not evenly divisible by 2.

## Is 1303 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 1303 is about 36.097.

Thus, the square root of 1303 is not an integer, and therefore 1303 is not a square number.

Anyway, 1303 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1303?

The square of a number (here 1303) is the result of the product of this number (1303) by itself (i.e., 1303 × 1303); the square of 1303 is sometimes called "raising 1303 to the power 2", or "1303 squared".

The square of 1303 is 1 697 809 because 1303 × 1303 = 13032 = 1 697 809.

As a consequence, 1303 is the square root of 1 697 809.

## Number of digits of 1303

1303 is a number with 4 digits.

## What are the multiples of 1303?

The multiples of 1303 are all integers evenly divisible by 1303, that is all numbers such that the remainder of the division by 1303 is zero. There are infinitely many multiples of 1303. The smallest multiples of 1303 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1303 too, since 0 × 1303 = 0
• 1303: indeed, 1303 is a multiple of itself, since 1303 is evenly divisible by 1303 (we have 1303 / 1303 = 1, so the remainder of this division is indeed zero)
• 2 606: indeed, 2 606 = 1303 × 2
• 3 909: indeed, 3 909 = 1303 × 3
• 5 212: indeed, 5 212 = 1303 × 4
• 6 515: indeed, 6 515 = 1303 × 5
• etc.

## Nearest numbers from 1303

Find out whether some integer is a prime number