Is 949 a prime number? What are the divisors of 949?

## Parity of 949

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

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## Is 949 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 949 is about 30.806.

Thus, the square root of 949 is not an integer, and therefore 949 is not a square number.

## What is the square number of 949?

The square of a number (here 949) is the result of the product of this number (949) by itself (i.e., 949 × 949); the square of 949 is sometimes called "raising 949 to the power 2", or "949 squared".

The square of 949 is 900 601 because 949 × 949 = 9492 = 900 601.

As a consequence, 949 is the square root of 900 601.

## Number of digits of 949

949 is a number with 3 digits.

## What are the multiples of 949?

The multiples of 949 are all integers evenly divisible by 949, that is all numbers such that the remainder of the division by 949 is zero. There are infinitely many multiples of 949. The smallest multiples of 949 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 949). 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 30.806). 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 949

• Preceding numbers: …947, 948
• Following numbers: 950, 951

### Nearest numbers from 949

• Preceding prime number: 947
• Following prime number: 953
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