Is 1049 a prime number? What are the divisors of 1049?

## Is 1049 a prime number?

Yes, 1049 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 1049, the only two divisors are 1 and 1049. Therefore 1049 is a prime number.

As a consequence, 1049 is only a multiple of 1 and 1049.

Since 1049 is a prime number, 1049 is also a deficient number, that is to say 1049 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1049 without 1049 itself (that is 1, by definition!).

## Parity of 1049

1049 is an odd number, because it is not evenly divisible by 2.

## Is 1049 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 1049 is about 32.388.

Thus, the square root of 1049 is not an integer, and therefore 1049 is not a square number.

Anyway, 1049 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1049?

The square of a number (here 1049) is the result of the product of this number (1049) by itself (i.e., 1049 × 1049); the square of 1049 is sometimes called "raising 1049 to the power 2", or "1049 squared".

The square of 1049 is 1 100 401 because 1049 × 1049 = 10492 = 1 100 401.

As a consequence, 1049 is the square root of 1 100 401.

## Number of digits of 1049

1049 is a number with 4 digits.

## What are the multiples of 1049?

The multiples of 1049 are all integers evenly divisible by 1049, that is all numbers such that the remainder of the division by 1049 is zero. There are infinitely many multiples of 1049. The smallest multiples of 1049 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1049 too, since 0 × 1049 = 0
• 1049: indeed, 1049 is a multiple of itself, since 1049 is evenly divisible by 1049 (we have 1049 / 1049 = 1, so the remainder of this division is indeed zero)
• 2 098: indeed, 2 098 = 1049 × 2
• 3 147: indeed, 3 147 = 1049 × 3
• 4 196: indeed, 4 196 = 1049 × 4
• 5 245: indeed, 5 245 = 1049 × 5
• etc.

## Nearest numbers from 1049

Find out whether some integer is a prime number