Is 949 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 949, the answer is: No, 949 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 949) is as follows: 1, 13, 73, 949.

For 949 to be a prime number, it would have been required that 949 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

949 is a multiple of 1
949 is a multiple of 13
949 is a multiple of 73

For 949 to be a prime number, it would have been required that 949 has only two divisors, i.e., itself and 1.

However, 949 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 949 = 13 x 73, where 13 and 73 are both prime numbers.

Is 949 a deficient number?

Yes, 949 is a deficient number, that is to say 949 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 949 without 949 itself (that is 1 + 13 + 73 = 87).

Parity of 949

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

Find out more:

What is an even number?

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:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 949 too, since 0 × 949 = 0
949: indeed, 949 is a multiple of itself, since 949 is evenly divisible by 949 (we have 949 / 949 = 1, so the remainder of this division is indeed zero)
1 898: indeed, 1 898 = 949 × 2
2 847: indeed, 2 847 = 949 × 3
3 796: indeed, 3 796 = 949 × 4
4 745: indeed, 4 745 = 949 × 5
etc.

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