Is 708 a prime number? What are the divisors of 708?

## Parity of 708

708 is an even number, because it is evenly divisible by 2: 708 / 2 = 354.

Find out more:

## Is 708 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 708 is about 26.608.

Thus, the square root of 708 is not an integer, and therefore 708 is not a square number.

## What is the square number of 708?

The square of a number (here 708) is the result of the product of this number (708) by itself (i.e., 708 × 708); the square of 708 is sometimes called "raising 708 to the power 2", or "708 squared".

The square of 708 is 501 264 because 708 × 708 = 7082 = 501 264.

As a consequence, 708 is the square root of 501 264.

## Number of digits of 708

708 is a number with 3 digits.

## What are the multiples of 708?

The multiples of 708 are all integers evenly divisible by 708, that is all numbers such that the remainder of the division by 708 is zero. There are infinitely many multiples of 708. The smallest multiples of 708 are:

## How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 708). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 26.608). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

## Numbers near 708

• Preceding numbers: …706, 707
• Following numbers: 709, 710

### Nearest numbers from 708

• Preceding prime number: 701
• Following prime number: 709
Find out whether some integer is a prime number