Is 700 a prime number? What are the divisors of 700?

## Parity of 700

700 is an even number, because it is evenly divisible by 2: 700 / 2 = 350.

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## Is 700 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 700 is about 26.458.

Thus, the square root of 700 is not an integer, and therefore 700 is not a square number.

## What is the square number of 700?

The square of a number (here 700) is the result of the product of this number (700) by itself (i.e., 700 × 700); the square of 700 is sometimes called "raising 700 to the power 2", or "700 squared".

The square of 700 is 490 000 because 700 × 700 = 7002 = 490 000.

As a consequence, 700 is the square root of 490 000.

## Number of digits of 700

700 is a number with 3 digits.

## What are the multiples of 700?

The multiples of 700 are all integers evenly divisible by 700, that is all numbers such that the remainder of the division by 700 is zero. There are infinitely many multiples of 700. The smallest multiples of 700 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 700). 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 26.458). 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 700

• Preceding numbers: …698, 699
• Following numbers: 701, 702

### Nearest numbers from 700

• Preceding prime number: 691
• Following prime number: 701
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