Is 946 a prime number?

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

For 946, the answer is: No, 946 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 946) is as follows: 1, 2, 11, 22, 43, 86, 473, 946.

For 946 to be a prime number, it would have been required that 946 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

946 is a multiple of 1
946 is a multiple of 2
946 is a multiple of 11
946 is a multiple of 22
946 is a multiple of 43
946 is a multiple of 86
946 is a multiple of 473

For 946 to be a prime number, it would have been required that 946 has only two divisors, i.e., itself and 1.

Is 946 a deficient number?

Yes, 946 is a deficient number, that is to say 946 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 946 without 946 itself (that is 1 + 2 + 11 + 22 + 43 + 86 + 473 = 638).

Parity of 946

946 is an even number, because it is evenly divisible by 2: 946 / 2 = 473.

Find out more:

What is an even number?

Is 946 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 946 is about 30.757.

Thus, the square root of 946 is not an integer, and therefore 946 is not a square number.

What is the square number of 946?

The square of a number (here 946) is the result of the product of this number (946) by itself (i.e., 946 × 946); the square of 946 is sometimes called "raising 946 to the power 2", or "946 squared".

The square of 946 is 894 916 because 946 × 946 = 946² = 894 916.

As a consequence, 946 is the square root of 894 916.

Number of digits of 946

946 is a number with 3 digits.

What are the multiples of 946?

The multiples of 946 are all integers evenly divisible by 946, that is all numbers such that the remainder of the division by 946 is zero. There are infinitely many multiples of 946. The smallest multiples of 946 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 946 too, since 0 × 946 = 0
946: indeed, 946 is a multiple of itself, since 946 is evenly divisible by 946 (we have 946 / 946 = 1, so the remainder of this division is indeed zero)
1 892: indeed, 1 892 = 946 × 2
2 838: indeed, 2 838 = 946 × 3
3 784: indeed, 3 784 = 946 × 4
4 730: indeed, 4 730 = 946 × 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 946). 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 30.757). 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 946

Preceding numbers: …944, 945
Following numbers: 947, 948…

Nearest numbers from 946

Preceding prime number: 941
Following prime number: 947