Is 1063 a prime number? What are the divisors of 1063?

## Is 1063 a prime number?

Yes, 1063 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 1063, the only two divisors are 1 and 1063. Therefore 1063 is a prime number.

As a consequence, 1063 is only a multiple of 1 and 1063.

Since 1063 is a prime number, 1063 is also a deficient number, that is to say 1063 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1063 without 1063 itself (that is 1, by definition!).

## Parity of 1063

1063 is an odd number, because it is not evenly divisible by 2.

## Is 1063 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 1063 is about 32.604.

Thus, the square root of 1063 is not an integer, and therefore 1063 is not a square number.

Anyway, 1063 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1063?

The square of a number (here 1063) is the result of the product of this number (1063) by itself (i.e., 1063 × 1063); the square of 1063 is sometimes called "raising 1063 to the power 2", or "1063 squared".

The square of 1063 is 1 129 969 because 1063 × 1063 = 10632 = 1 129 969.

As a consequence, 1063 is the square root of 1 129 969.

## Number of digits of 1063

1063 is a number with 4 digits.

## What are the multiples of 1063?

The multiples of 1063 are all integers evenly divisible by 1063, that is all numbers such that the remainder of the division by 1063 is zero. There are infinitely many multiples of 1063. The smallest multiples of 1063 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1063 too, since 0 × 1063 = 0
• 1063: indeed, 1063 is a multiple of itself, since 1063 is evenly divisible by 1063 (we have 1063 / 1063 = 1, so the remainder of this division is indeed zero)
• 2 126: indeed, 2 126 = 1063 × 2
• 3 189: indeed, 3 189 = 1063 × 3
• 4 252: indeed, 4 252 = 1063 × 4
• 5 315: indeed, 5 315 = 1063 × 5
• etc.

## Nearest numbers from 1063

Find out whether some integer is a prime number