Is 1259 a prime number? What are the divisors of 1259?

## Is 1259 a prime number?

Yes, 1259 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 1259, the only two divisors are 1 and 1259. Therefore 1259 is a prime number.

As a consequence, 1259 is only a multiple of 1 and 1259.

Since 1259 is a prime number, 1259 is also a deficient number, that is to say 1259 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1259 without 1259 itself (that is 1, by definition!).

## Parity of 1259

1259 is an odd number, because it is not evenly divisible by 2.

## Is 1259 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 1259 is about 35.482.

Thus, the square root of 1259 is not an integer, and therefore 1259 is not a square number.

Anyway, 1259 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1259?

The square of a number (here 1259) is the result of the product of this number (1259) by itself (i.e., 1259 × 1259); the square of 1259 is sometimes called "raising 1259 to the power 2", or "1259 squared".

The square of 1259 is 1 585 081 because 1259 × 1259 = 12592 = 1 585 081.

As a consequence, 1259 is the square root of 1 585 081.

## Number of digits of 1259

1259 is a number with 4 digits.

## What are the multiples of 1259?

The multiples of 1259 are all integers evenly divisible by 1259, that is all numbers such that the remainder of the division by 1259 is zero. There are infinitely many multiples of 1259. The smallest multiples of 1259 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1259 too, since 0 × 1259 = 0
• 1259: indeed, 1259 is a multiple of itself, since 1259 is evenly divisible by 1259 (we have 1259 / 1259 = 1, so the remainder of this division is indeed zero)
• 2 518: indeed, 2 518 = 1259 × 2
• 3 777: indeed, 3 777 = 1259 × 3
• 5 036: indeed, 5 036 = 1259 × 4
• 6 295: indeed, 6 295 = 1259 × 5
• etc.

## Nearest numbers from 1259

Find out whether some integer is a prime number