Is 10429 a prime number? What are the divisors of 10429?

## Is 10429 a prime number?

Yes, 10429 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 10429, the only two divisors are 1 and 10429. Therefore 10429 is a prime number.

As a consequence, 10429 is only a multiple of 1 and 10429.

Since 10429 is a prime number, 10429 is also a deficient number, that is to say 10429 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10429 without 10429 itself (that is 1, by definition!).

## Parity of 10429

10429 is an odd number, because it is not evenly divisible by 2.

## Is 10429 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 10429 is about 102.122.

Thus, the square root of 10429 is not an integer, and therefore 10429 is not a square number.

Anyway, 10429 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10429?

The square of a number (here 10429) is the result of the product of this number (10429) by itself (i.e., 10429 × 10429); the square of 10429 is sometimes called "raising 10429 to the power 2", or "10429 squared".

The square of 10429 is 108 764 041 because 10429 × 10429 = 104292 = 108 764 041.

As a consequence, 10429 is the square root of 108 764 041.

## Number of digits of 10429

10429 is a number with 5 digits.

## What are the multiples of 10429?

The multiples of 10429 are all integers evenly divisible by 10429, that is all numbers such that the remainder of the division by 10429 is zero. There are infinitely many multiples of 10429. The smallest multiples of 10429 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10429 too, since 0 × 10429 = 0
• 10429: indeed, 10429 is a multiple of itself, since 10429 is evenly divisible by 10429 (we have 10429 / 10429 = 1, so the remainder of this division is indeed zero)
• 20 858: indeed, 20 858 = 10429 × 2
• 31 287: indeed, 31 287 = 10429 × 3
• 41 716: indeed, 41 716 = 10429 × 4
• 52 145: indeed, 52 145 = 10429 × 5
• etc.

## Nearest numbers from 10429

Find out whether some integer is a prime number