Is 42293 a prime number? What are the divisors of 42293?

## Is 42293 a prime number?

Yes, 42293 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 42293, the only two divisors are 1 and 42293. Therefore 42293 is a prime number.

As a consequence, 42293 is only a multiple of 1 and 42293.

Since 42293 is a prime number, 42293 is also a deficient number, that is to say 42293 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42293 without 42293 itself (that is 1, by definition!).

## Parity of 42293

42293 is an odd number, because it is not evenly divisible by 2.

## Is 42293 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 42293 is about 205.653.

Thus, the square root of 42293 is not an integer, and therefore 42293 is not a square number.

Anyway, 42293 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 42293?

The square of a number (here 42293) is the result of the product of this number (42293) by itself (i.e., 42293 × 42293); the square of 42293 is sometimes called "raising 42293 to the power 2", or "42293 squared".

The square of 42293 is 1 788 697 849 because 42293 × 42293 = 422932 = 1 788 697 849.

As a consequence, 42293 is the square root of 1 788 697 849.

## Number of digits of 42293

42293 is a number with 5 digits.

## What are the multiples of 42293?

The multiples of 42293 are all integers evenly divisible by 42293, that is all numbers such that the remainder of the division by 42293 is zero. There are infinitely many multiples of 42293. The smallest multiples of 42293 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 42293 too, since 0 × 42293 = 0
• 42293: indeed, 42293 is a multiple of itself, since 42293 is evenly divisible by 42293 (we have 42293 / 42293 = 1, so the remainder of this division is indeed zero)
• 84 586: indeed, 84 586 = 42293 × 2
• 126 879: indeed, 126 879 = 42293 × 3
• 169 172: indeed, 169 172 = 42293 × 4
• 211 465: indeed, 211 465 = 42293 × 5
• etc.

## Nearest numbers from 42293

Find out whether some integer is a prime number