Is 8929 a prime number? What are the divisors of 8929?

## Is 8929 a prime number?

Yes, 8929 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 8929, the only two divisors are 1 and 8929. Therefore 8929 is a prime number.

As a consequence, 8929 is only a multiple of 1 and 8929.

Since 8929 is a prime number, 8929 is also a deficient number, that is to say 8929 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8929 without 8929 itself (that is 1, by definition!).

## Parity of 8929

8929 is an odd number, because it is not evenly divisible by 2.

## Is 8929 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 8929 is about 94.493.

Thus, the square root of 8929 is not an integer, and therefore 8929 is not a square number.

Anyway, 8929 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8929?

The square of a number (here 8929) is the result of the product of this number (8929) by itself (i.e., 8929 × 8929); the square of 8929 is sometimes called "raising 8929 to the power 2", or "8929 squared".

The square of 8929 is 79 727 041 because 8929 × 8929 = 89292 = 79 727 041.

As a consequence, 8929 is the square root of 79 727 041.

## Number of digits of 8929

8929 is a number with 4 digits.

## What are the multiples of 8929?

The multiples of 8929 are all integers evenly divisible by 8929, that is all numbers such that the remainder of the division by 8929 is zero. There are infinitely many multiples of 8929. The smallest multiples of 8929 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8929 too, since 0 × 8929 = 0
• 8929: indeed, 8929 is a multiple of itself, since 8929 is evenly divisible by 8929 (we have 8929 / 8929 = 1, so the remainder of this division is indeed zero)
• 17 858: indeed, 17 858 = 8929 × 2
• 26 787: indeed, 26 787 = 8929 × 3
• 35 716: indeed, 35 716 = 8929 × 4
• 44 645: indeed, 44 645 = 8929 × 5
• etc.

## Nearest numbers from 8929

Find out whether some integer is a prime number