Is 5431 a prime number? What are the divisors of 5431?

## Is 5431 a prime number?

Yes, 5431 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 5431, the only two divisors are 1 and 5431. Therefore 5431 is a prime number.

As a consequence, 5431 is only a multiple of 1 and 5431.

Since 5431 is a prime number, 5431 is also a deficient number, that is to say 5431 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5431 without 5431 itself (that is 1, by definition!).

## Parity of 5431

5431 is an odd number, because it is not evenly divisible by 2.

## Is 5431 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 5431 is about 73.695.

Thus, the square root of 5431 is not an integer, and therefore 5431 is not a square number.

Anyway, 5431 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5431?

The square of a number (here 5431) is the result of the product of this number (5431) by itself (i.e., 5431 × 5431); the square of 5431 is sometimes called "raising 5431 to the power 2", or "5431 squared".

The square of 5431 is 29 495 761 because 5431 × 5431 = 54312 = 29 495 761.

As a consequence, 5431 is the square root of 29 495 761.

## Number of digits of 5431

5431 is a number with 4 digits.

## What are the multiples of 5431?

The multiples of 5431 are all integers evenly divisible by 5431, that is all numbers such that the remainder of the division by 5431 is zero. There are infinitely many multiples of 5431. The smallest multiples of 5431 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5431 too, since 0 × 5431 = 0
• 5431: indeed, 5431 is a multiple of itself, since 5431 is evenly divisible by 5431 (we have 5431 / 5431 = 1, so the remainder of this division is indeed zero)
• 10 862: indeed, 10 862 = 5431 × 2
• 16 293: indeed, 16 293 = 5431 × 3
• 21 724: indeed, 21 724 = 5431 × 4
• 27 155: indeed, 27 155 = 5431 × 5
• etc.

## Nearest numbers from 5431

Find out whether some integer is a prime number