Is 945 a prime number? What are the divisors of 945?

## Parity of 945

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

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## Is 945 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 945 is about 30.741.

Thus, the square root of 945 is not an integer, and therefore 945 is not a square number.

## What is the square number of 945?

The square of a number (here 945) is the result of the product of this number (945) by itself (i.e., 945 × 945); the square of 945 is sometimes called "raising 945 to the power 2", or "945 squared".

The square of 945 is 893 025 because 945 × 945 = 9452 = 893 025.

As a consequence, 945 is the square root of 893 025.

## Number of digits of 945

945 is a number with 3 digits.

## What are the multiples of 945?

The multiples of 945 are all integers evenly divisible by 945, that is all numbers such that the remainder of the division by 945 is zero. There are infinitely many multiples of 945. The smallest multiples of 945 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 945). 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 30.741). 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 945

• Preceding numbers: …943, 944
• Following numbers: 946, 947

### Nearest numbers from 945

• Preceding prime number: 941
• Following prime number: 947
Find out whether some integer is a prime number