Is 1109 a prime number? What are the divisors of 1109?

## Is 1109 a prime number?

Yes, 1109 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 1109, the only two divisors are 1 and 1109. Therefore 1109 is a prime number.

As a consequence, 1109 is only a multiple of 1 and 1109.

Since 1109 is a prime number, 1109 is also a deficient number, that is to say 1109 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1109 without 1109 itself (that is 1, by definition!).

## Parity of 1109

1109 is an odd number, because it is not evenly divisible by 2.

## Is 1109 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 1109 is about 33.302.

Thus, the square root of 1109 is not an integer, and therefore 1109 is not a square number.

Anyway, 1109 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1109?

The square of a number (here 1109) is the result of the product of this number (1109) by itself (i.e., 1109 × 1109); the square of 1109 is sometimes called "raising 1109 to the power 2", or "1109 squared".

The square of 1109 is 1 229 881 because 1109 × 1109 = 11092 = 1 229 881.

As a consequence, 1109 is the square root of 1 229 881.

## Number of digits of 1109

1109 is a number with 4 digits.

## What are the multiples of 1109?

The multiples of 1109 are all integers evenly divisible by 1109, that is all numbers such that the remainder of the division by 1109 is zero. There are infinitely many multiples of 1109. The smallest multiples of 1109 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1109 too, since 0 × 1109 = 0
• 1109: indeed, 1109 is a multiple of itself, since 1109 is evenly divisible by 1109 (we have 1109 / 1109 = 1, so the remainder of this division is indeed zero)
• 2 218: indeed, 2 218 = 1109 × 2
• 3 327: indeed, 3 327 = 1109 × 3
• 4 436: indeed, 4 436 = 1109 × 4
• 5 545: indeed, 5 545 = 1109 × 5
• etc.

## Nearest numbers from 1109

Find out whether some integer is a prime number