Is 1051 a prime number? What are the divisors of 1051?

## Is 1051 a prime number?

Yes, 1051 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 1051, the only two divisors are 1 and 1051. Therefore 1051 is a prime number.

As a consequence, 1051 is only a multiple of 1 and 1051.

Since 1051 is a prime number, 1051 is also a deficient number, that is to say 1051 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1051 without 1051 itself (that is 1, by definition!).

## Parity of 1051

1051 is an odd number, because it is not evenly divisible by 2.

## Is 1051 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 1051 is about 32.419.

Thus, the square root of 1051 is not an integer, and therefore 1051 is not a square number.

Anyway, 1051 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1051?

The square of a number (here 1051) is the result of the product of this number (1051) by itself (i.e., 1051 × 1051); the square of 1051 is sometimes called "raising 1051 to the power 2", or "1051 squared".

The square of 1051 is 1 104 601 because 1051 × 1051 = 10512 = 1 104 601.

As a consequence, 1051 is the square root of 1 104 601.

## Number of digits of 1051

1051 is a number with 4 digits.

## What are the multiples of 1051?

The multiples of 1051 are all integers evenly divisible by 1051, that is all numbers such that the remainder of the division by 1051 is zero. There are infinitely many multiples of 1051. The smallest multiples of 1051 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1051 too, since 0 × 1051 = 0
• 1051: indeed, 1051 is a multiple of itself, since 1051 is evenly divisible by 1051 (we have 1051 / 1051 = 1, so the remainder of this division is indeed zero)
• 2 102: indeed, 2 102 = 1051 × 2
• 3 153: indeed, 3 153 = 1051 × 3
• 4 204: indeed, 4 204 = 1051 × 4
• 5 255: indeed, 5 255 = 1051 × 5
• etc.

## Nearest numbers from 1051

Find out whether some integer is a prime number