Is 1429 a prime number? What are the divisors of 1429?

## Is 1429 a prime number?

Yes, 1429 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 1429, the only two divisors are 1 and 1429. Therefore 1429 is a prime number.

As a consequence, 1429 is only a multiple of 1 and 1429.

Since 1429 is a prime number, 1429 is also a deficient number, that is to say 1429 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1429 without 1429 itself (that is 1, by definition!).

## Parity of 1429

1429 is an odd number, because it is not evenly divisible by 2.

## Is 1429 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 1429 is about 37.802.

Thus, the square root of 1429 is not an integer, and therefore 1429 is not a square number.

Anyway, 1429 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1429?

The square of a number (here 1429) is the result of the product of this number (1429) by itself (i.e., 1429 × 1429); the square of 1429 is sometimes called "raising 1429 to the power 2", or "1429 squared".

The square of 1429 is 2 042 041 because 1429 × 1429 = 14292 = 2 042 041.

As a consequence, 1429 is the square root of 2 042 041.

## Number of digits of 1429

1429 is a number with 4 digits.

## What are the multiples of 1429?

The multiples of 1429 are all integers evenly divisible by 1429, that is all numbers such that the remainder of the division by 1429 is zero. There are infinitely many multiples of 1429. The smallest multiples of 1429 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1429 too, since 0 × 1429 = 0
• 1429: indeed, 1429 is a multiple of itself, since 1429 is evenly divisible by 1429 (we have 1429 / 1429 = 1, so the remainder of this division is indeed zero)
• 2 858: indeed, 2 858 = 1429 × 2
• 4 287: indeed, 4 287 = 1429 × 3
• 5 716: indeed, 5 716 = 1429 × 4
• 7 145: indeed, 7 145 = 1429 × 5
• etc.

## Nearest numbers from 1429

Find out whether some integer is a prime number