Is 950 a prime number?

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

For 950, the answer is: No, 950 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 950) is as follows: 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950.

For 950 to be a prime number, it would have been required that 950 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 950 cannot be prime, because 5 is one of its divisors: indeed, a number ending with 0 or 5 has necessarily 5 among its divisors. The last digit of 950 is 0, so it is divisible by 5 and is therefore not prime.

As a consequence:

950 is a multiple of 1
950 is a multiple of 2
950 is a multiple of 5
950 is a multiple of 10
950 is a multiple of 19
950 is a multiple of 25
950 is a multiple of 38
950 is a multiple of 50
950 is a multiple of 95
950 is a multiple of 190
950 is a multiple of 475

For 950 to be a prime number, it would have been required that 950 has only two divisors, i.e., itself and 1.

Is 950 a deficient number?

Yes, 950 is a deficient number, that is to say 950 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 950 without 950 itself (that is 1 + 2 + 5 + 10 + 19 + 25 + 38 + 50 + 95 + 190 + 475 = 910).

Parity of 950

950 is an even number, because it is evenly divisible by 2: 950 / 2 = 475.

Find out more:

What is an even number?

Is 950 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 950 is about 30.822.

Thus, the square root of 950 is not an integer, and therefore 950 is not a square number.

What is the square number of 950?

The square of a number (here 950) is the result of the product of this number (950) by itself (i.e., 950 × 950); the square of 950 is sometimes called "raising 950 to the power 2", or "950 squared".

The square of 950 is 902 500 because 950 × 950 = 950² = 902 500.

As a consequence, 950 is the square root of 902 500.

Number of digits of 950

950 is a number with 3 digits.

What are the multiples of 950?

The multiples of 950 are all integers evenly divisible by 950, that is all numbers such that the remainder of the division by 950 is zero. There are infinitely many multiples of 950. The smallest multiples of 950 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 950 too, since 0 × 950 = 0
950: indeed, 950 is a multiple of itself, since 950 is evenly divisible by 950 (we have 950 / 950 = 1, so the remainder of this division is indeed zero)
1 900: indeed, 1 900 = 950 × 2
2 850: indeed, 2 850 = 950 × 3
3 800: indeed, 3 800 = 950 × 4
4 750: indeed, 4 750 = 950 × 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 950). 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 30.822). 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 950

Preceding numbers: …948, 949
Following numbers: 951, 952…

Nearest numbers from 950

Preceding prime number: 947
Following prime number: 953