Is 8429 a prime number? What are the divisors of 8429?

## Is 8429 a prime number?

Yes, 8429 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 8429, the only two divisors are 1 and 8429. Therefore 8429 is a prime number.

As a consequence, 8429 is only a multiple of 1 and 8429.

Since 8429 is a prime number, 8429 is also a deficient number, that is to say 8429 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8429 without 8429 itself (that is 1, by definition!).

## Parity of 8429

8429 is an odd number, because it is not evenly divisible by 2.

## Is 8429 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 8429 is about 91.810.

Thus, the square root of 8429 is not an integer, and therefore 8429 is not a square number.

Anyway, 8429 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8429?

The square of a number (here 8429) is the result of the product of this number (8429) by itself (i.e., 8429 × 8429); the square of 8429 is sometimes called "raising 8429 to the power 2", or "8429 squared".

The square of 8429 is 71 048 041 because 8429 × 8429 = 84292 = 71 048 041.

As a consequence, 8429 is the square root of 71 048 041.

## Number of digits of 8429

8429 is a number with 4 digits.

## What are the multiples of 8429?

The multiples of 8429 are all integers evenly divisible by 8429, that is all numbers such that the remainder of the division by 8429 is zero. There are infinitely many multiples of 8429. The smallest multiples of 8429 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8429 too, since 0 × 8429 = 0
• 8429: indeed, 8429 is a multiple of itself, since 8429 is evenly divisible by 8429 (we have 8429 / 8429 = 1, so the remainder of this division is indeed zero)
• 16 858: indeed, 16 858 = 8429 × 2
• 25 287: indeed, 25 287 = 8429 × 3
• 33 716: indeed, 33 716 = 8429 × 4
• 42 145: indeed, 42 145 = 8429 × 5
• etc.

## Nearest numbers from 8429

Find out whether some integer is a prime number