Is 1069 a prime number? What are the divisors of 1069?

## Is 1069 a prime number?

Yes, 1069 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 1069, the only two divisors are 1 and 1069. Therefore 1069 is a prime number.

As a consequence, 1069 is only a multiple of 1 and 1069.

Since 1069 is a prime number, 1069 is also a deficient number, that is to say 1069 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1069 without 1069 itself (that is 1, by definition!).

## Parity of 1069

1069 is an odd number, because it is not evenly divisible by 2.

## Is 1069 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 1069 is about 32.696.

Thus, the square root of 1069 is not an integer, and therefore 1069 is not a square number.

Anyway, 1069 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1069?

The square of a number (here 1069) is the result of the product of this number (1069) by itself (i.e., 1069 × 1069); the square of 1069 is sometimes called "raising 1069 to the power 2", or "1069 squared".

The square of 1069 is 1 142 761 because 1069 × 1069 = 10692 = 1 142 761.

As a consequence, 1069 is the square root of 1 142 761.

## Number of digits of 1069

1069 is a number with 4 digits.

## What are the multiples of 1069?

The multiples of 1069 are all integers evenly divisible by 1069, that is all numbers such that the remainder of the division by 1069 is zero. There are infinitely many multiples of 1069. The smallest multiples of 1069 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1069 too, since 0 × 1069 = 0
• 1069: indeed, 1069 is a multiple of itself, since 1069 is evenly divisible by 1069 (we have 1069 / 1069 = 1, so the remainder of this division is indeed zero)
• 2 138: indeed, 2 138 = 1069 × 2
• 3 207: indeed, 3 207 = 1069 × 3
• 4 276: indeed, 4 276 = 1069 × 4
• 5 345: indeed, 5 345 = 1069 × 5
• etc.

## Nearest numbers from 1069

Find out whether some integer is a prime number