Is 7109 a prime number? What are the divisors of 7109?

## Is 7109 a prime number?

Yes, 7109 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 7109, the only two divisors are 1 and 7109. Therefore 7109 is a prime number.

As a consequence, 7109 is only a multiple of 1 and 7109.

Since 7109 is a prime number, 7109 is also a deficient number, that is to say 7109 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7109 without 7109 itself (that is 1, by definition!).

## Parity of 7109

7109 is an odd number, because it is not evenly divisible by 2.

## Is 7109 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 7109 is about 84.315.

Thus, the square root of 7109 is not an integer, and therefore 7109 is not a square number.

Anyway, 7109 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7109?

The square of a number (here 7109) is the result of the product of this number (7109) by itself (i.e., 7109 × 7109); the square of 7109 is sometimes called "raising 7109 to the power 2", or "7109 squared".

The square of 7109 is 50 537 881 because 7109 × 7109 = 71092 = 50 537 881.

As a consequence, 7109 is the square root of 50 537 881.

## Number of digits of 7109

7109 is a number with 4 digits.

## What are the multiples of 7109?

The multiples of 7109 are all integers evenly divisible by 7109, that is all numbers such that the remainder of the division by 7109 is zero. There are infinitely many multiples of 7109. The smallest multiples of 7109 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7109 too, since 0 × 7109 = 0
• 7109: indeed, 7109 is a multiple of itself, since 7109 is evenly divisible by 7109 (we have 7109 / 7109 = 1, so the remainder of this division is indeed zero)
• 14 218: indeed, 14 218 = 7109 × 2
• 21 327: indeed, 21 327 = 7109 × 3
• 28 436: indeed, 28 436 = 7109 × 4
• 35 545: indeed, 35 545 = 7109 × 5
• etc.

## Nearest numbers from 7109

Find out whether some integer is a prime number