Is 942 a prime number?

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

For 942, the answer is: No, 942 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 942) is as follows: 1, 2, 3, 6, 157, 314, 471, 942.

For 942 to be a prime number, it would have been required that 942 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

942 is a multiple of 1
942 is a multiple of 2
942 is a multiple of 3
942 is a multiple of 6
942 is a multiple of 157
942 is a multiple of 314
942 is a multiple of 471

For 942 to be a prime number, it would have been required that 942 has only two divisors, i.e., itself and 1.

Is 942 a deficient number?

No, 942 is not a deficient number: to be deficient, 942 should have been such that 942 is larger than the sum of its proper divisors, i.e., the divisors of 942 without 942 itself (that is 1 + 2 + 3 + 6 + 157 + 314 + 471 = 954).

In fact, 942 is an abundant number; 942 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 157 + 314 + 471 = 954). The smallest abundant number is 12.

Parity of 942

942 is an even number, because it is evenly divisible by 2: 942 / 2 = 471.

Find out more:

What is an even number?

Is 942 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 942 is about 30.692.

Thus, the square root of 942 is not an integer, and therefore 942 is not a square number.

What is the square number of 942?

The square of a number (here 942) is the result of the product of this number (942) by itself (i.e., 942 × 942); the square of 942 is sometimes called "raising 942 to the power 2", or "942 squared".

The square of 942 is 887 364 because 942 × 942 = 942² = 887 364.

As a consequence, 942 is the square root of 887 364.

Number of digits of 942

942 is a number with 3 digits.

What are the multiples of 942?

The multiples of 942 are all integers evenly divisible by 942, that is all numbers such that the remainder of the division by 942 is zero. There are infinitely many multiples of 942. The smallest multiples of 942 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 942 too, since 0 × 942 = 0
942: indeed, 942 is a multiple of itself, since 942 is evenly divisible by 942 (we have 942 / 942 = 1, so the remainder of this division is indeed zero)
1 884: indeed, 1 884 = 942 × 2
2 826: indeed, 2 826 = 942 × 3
3 768: indeed, 3 768 = 942 × 4
4 710: indeed, 4 710 = 942 × 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 942). 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 30.692). 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 942

Preceding numbers: …940, 941
Following numbers: 943, 944…

Nearest numbers from 942

Preceding prime number: 941
Following prime number: 947