Is 8263 a prime number? What are the divisors of 8263?

## Is 8263 a prime number?

Yes, 8263 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 8263, the only two divisors are 1 and 8263. Therefore 8263 is a prime number.

As a consequence, 8263 is only a multiple of 1 and 8263.

Since 8263 is a prime number, 8263 is also a deficient number, that is to say 8263 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8263 without 8263 itself (that is 1, by definition!).

## Parity of 8263

8263 is an odd number, because it is not evenly divisible by 2.

## Is 8263 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 8263 is about 90.901.

Thus, the square root of 8263 is not an integer, and therefore 8263 is not a square number.

Anyway, 8263 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8263?

The square of a number (here 8263) is the result of the product of this number (8263) by itself (i.e., 8263 × 8263); the square of 8263 is sometimes called "raising 8263 to the power 2", or "8263 squared".

The square of 8263 is 68 277 169 because 8263 × 8263 = 82632 = 68 277 169.

As a consequence, 8263 is the square root of 68 277 169.

## Number of digits of 8263

8263 is a number with 4 digits.

## What are the multiples of 8263?

The multiples of 8263 are all integers evenly divisible by 8263, that is all numbers such that the remainder of the division by 8263 is zero. There are infinitely many multiples of 8263. The smallest multiples of 8263 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8263 too, since 0 × 8263 = 0
• 8263: indeed, 8263 is a multiple of itself, since 8263 is evenly divisible by 8263 (we have 8263 / 8263 = 1, so the remainder of this division is indeed zero)
• 16 526: indeed, 16 526 = 8263 × 2
• 24 789: indeed, 24 789 = 8263 × 3
• 33 052: indeed, 33 052 = 8263 × 4
• 41 315: indeed, 41 315 = 8263 × 5
• etc.

## Nearest numbers from 8263

Find out whether some integer is a prime number