Is 951 a prime number? What are the divisors of 951?

## Parity of 951

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

Find out more:

## Is 951 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 951 is about 30.838.

Thus, the square root of 951 is not an integer, and therefore 951 is not a square number.

## What is the square number of 951?

The square of a number (here 951) is the result of the product of this number (951) by itself (i.e., 951 × 951); the square of 951 is sometimes called "raising 951 to the power 2", or "951 squared".

The square of 951 is 904 401 because 951 × 951 = 9512 = 904 401.

As a consequence, 951 is the square root of 904 401.

## Number of digits of 951

951 is a number with 3 digits.

## What are the multiples of 951?

The multiples of 951 are all integers evenly divisible by 951, that is all numbers such that the remainder of the division by 951 is zero. There are infinitely many multiples of 951. The smallest multiples of 951 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 951). 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 30.838). 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 951

• Preceding numbers: …949, 950
• Following numbers: 952, 953

### Nearest numbers from 951

• Preceding prime number: 947
• Following prime number: 953
Find out whether some integer is a prime number