Is 1151 a prime number? What are the divisors of 1151?

## Is 1151 a prime number?

Yes, 1151 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 1151, the only two divisors are 1 and 1151. Therefore 1151 is a prime number.

As a consequence, 1151 is only a multiple of 1 and 1151.

Since 1151 is a prime number, 1151 is also a deficient number, that is to say 1151 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1151 without 1151 itself (that is 1, by definition!).

## Parity of 1151

1151 is an odd number, because it is not evenly divisible by 2.

## Is 1151 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 1151 is about 33.926.

Thus, the square root of 1151 is not an integer, and therefore 1151 is not a square number.

Anyway, 1151 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1151?

The square of a number (here 1151) is the result of the product of this number (1151) by itself (i.e., 1151 × 1151); the square of 1151 is sometimes called "raising 1151 to the power 2", or "1151 squared".

The square of 1151 is 1 324 801 because 1151 × 1151 = 11512 = 1 324 801.

As a consequence, 1151 is the square root of 1 324 801.

## Number of digits of 1151

1151 is a number with 4 digits.

## What are the multiples of 1151?

The multiples of 1151 are all integers evenly divisible by 1151, that is all numbers such that the remainder of the division by 1151 is zero. There are infinitely many multiples of 1151. The smallest multiples of 1151 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1151 too, since 0 × 1151 = 0
• 1151: indeed, 1151 is a multiple of itself, since 1151 is evenly divisible by 1151 (we have 1151 / 1151 = 1, so the remainder of this division is indeed zero)
• 2 302: indeed, 2 302 = 1151 × 2
• 3 453: indeed, 3 453 = 1151 × 3
• 4 604: indeed, 4 604 = 1151 × 4
• 5 755: indeed, 5 755 = 1151 × 5
• etc.

## Nearest numbers from 1151

Find out whether some integer is a prime number