Is 672 a prime number? What are the divisors of 672?

## Parity of 672

672 is an even number, because it is evenly divisible by 2: 672 / 2 = 336.

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## Is 672 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 672 is about 25.923.

Thus, the square root of 672 is not an integer, and therefore 672 is not a square number.

## What is the square number of 672?

The square of a number (here 672) is the result of the product of this number (672) by itself (i.e., 672 × 672); the square of 672 is sometimes called "raising 672 to the power 2", or "672 squared".

The square of 672 is 451 584 because 672 × 672 = 6722 = 451 584.

As a consequence, 672 is the square root of 451 584.

## Number of digits of 672

672 is a number with 3 digits.

## What are the multiples of 672?

The multiples of 672 are all integers evenly divisible by 672, that is all numbers such that the remainder of the division by 672 is zero. There are infinitely many multiples of 672. The smallest multiples of 672 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 672). 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 25.923). 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 672

• Preceding numbers: …670, 671
• Following numbers: 673, 674

### Nearest numbers from 672

• Preceding prime number: 661
• Following prime number: 673
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