Is 1291 a prime number? What are the divisors of 1291?

## Is 1291 a prime number?

Yes, 1291 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 1291, the only two divisors are 1 and 1291. Therefore 1291 is a prime number.

As a consequence, 1291 is only a multiple of 1 and 1291.

Since 1291 is a prime number, 1291 is also a deficient number, that is to say 1291 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1291 without 1291 itself (that is 1, by definition!).

## Parity of 1291

1291 is an odd number, because it is not evenly divisible by 2.

## Is 1291 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 1291 is about 35.930.

Thus, the square root of 1291 is not an integer, and therefore 1291 is not a square number.

Anyway, 1291 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1291?

The square of a number (here 1291) is the result of the product of this number (1291) by itself (i.e., 1291 × 1291); the square of 1291 is sometimes called "raising 1291 to the power 2", or "1291 squared".

The square of 1291 is 1 666 681 because 1291 × 1291 = 12912 = 1 666 681.

As a consequence, 1291 is the square root of 1 666 681.

## Number of digits of 1291

1291 is a number with 4 digits.

## What are the multiples of 1291?

The multiples of 1291 are all integers evenly divisible by 1291, that is all numbers such that the remainder of the division by 1291 is zero. There are infinitely many multiples of 1291. The smallest multiples of 1291 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1291 too, since 0 × 1291 = 0
• 1291: indeed, 1291 is a multiple of itself, since 1291 is evenly divisible by 1291 (we have 1291 / 1291 = 1, so the remainder of this division is indeed zero)
• 2 582: indeed, 2 582 = 1291 × 2
• 3 873: indeed, 3 873 = 1291 × 3
• 5 164: indeed, 5 164 = 1291 × 4
• 6 455: indeed, 6 455 = 1291 × 5
• etc.

## Nearest numbers from 1291

Find out whether some integer is a prime number