Is 674 a prime number? What are the divisors of 674?

## Parity of 674

674 is an even number, because it is evenly divisible by 2: 674 / 2 = 337.

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## Is 674 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 674 is about 25.962.

Thus, the square root of 674 is not an integer, and therefore 674 is not a square number.

## What is the square number of 674?

The square of a number (here 674) is the result of the product of this number (674) by itself (i.e., 674 × 674); the square of 674 is sometimes called "raising 674 to the power 2", or "674 squared".

The square of 674 is 454 276 because 674 × 674 = 6742 = 454 276.

As a consequence, 674 is the square root of 454 276.

## Number of digits of 674

674 is a number with 3 digits.

## What are the multiples of 674?

The multiples of 674 are all integers evenly divisible by 674, that is all numbers such that the remainder of the division by 674 is zero. There are infinitely many multiples of 674. The smallest multiples of 674 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 674). 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 25.962). 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 674

• Preceding numbers: …672, 673
• Following numbers: 675, 676

### Nearest numbers from 674

• Preceding prime number: 673
• Following prime number: 677
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