Is 951 a prime number?

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

For 951, the answer is: No, 951 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 951) is as follows: 1, 3, 317, 951.

For 951 to be a prime number, it would have been required that 951 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

951 is a multiple of 1
951 is a multiple of 3
951 is a multiple of 317

For 951 to be a prime number, it would have been required that 951 has only two divisors, i.e., itself and 1.

However, 951 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 951 = 3 x 317, where 3 and 317 are both prime numbers.

Is 951 a deficient number?

Yes, 951 is a deficient number, that is to say 951 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 951 without 951 itself (that is 1 + 3 + 317 = 321).

Parity of 951

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

Find out more:

What is an even number?

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:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 951 too, since 0 × 951 = 0
951: indeed, 951 is a multiple of itself, since 951 is evenly divisible by 951 (we have 951 / 951 = 1, so the remainder of this division is indeed zero)
1 902: indeed, 1 902 = 951 × 2
2 853: indeed, 2 853 = 951 × 3
3 804: indeed, 3 804 = 951 × 4
4 755: indeed, 4 755 = 951 × 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 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