Is 940 a prime number?

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

For 940, the answer is: No, 940 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 940) is as follows: 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940.

For 940 to be a prime number, it would have been required that 940 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 940 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 940 is 0, so it is divisible by 5 and is therefore not prime.

As a consequence:

940 is a multiple of 1
940 is a multiple of 2
940 is a multiple of 4
940 is a multiple of 5
940 is a multiple of 10
940 is a multiple of 20
940 is a multiple of 47
940 is a multiple of 94
940 is a multiple of 188
940 is a multiple of 235
940 is a multiple of 470

For 940 to be a prime number, it would have been required that 940 has only two divisors, i.e., itself and 1.

Is 940 a deficient number?

No, 940 is not a deficient number: to be deficient, 940 should have been such that 940 is larger than the sum of its proper divisors, i.e., the divisors of 940 without 940 itself (that is 1 + 2 + 4 + 5 + 10 + 20 + 47 + 94 + 188 + 235 + 470 = 1 076).

In fact, 940 is an abundant number; 940 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 5 + 10 + 20 + 47 + 94 + 188 + 235 + 470 = 1 076). The smallest abundant number is 12.

Parity of 940

940 is an even number, because it is evenly divisible by 2: 940 / 2 = 470.

Find out more:

What is an even number?

Is 940 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 940 is about 30.659.

Thus, the square root of 940 is not an integer, and therefore 940 is not a square number.

What is the square number of 940?

The square of a number (here 940) is the result of the product of this number (940) by itself (i.e., 940 × 940); the square of 940 is sometimes called "raising 940 to the power 2", or "940 squared".

The square of 940 is 883 600 because 940 × 940 = 940² = 883 600.

As a consequence, 940 is the square root of 883 600.

Number of digits of 940

940 is a number with 3 digits.

What are the multiples of 940?

The multiples of 940 are all integers evenly divisible by 940, that is all numbers such that the remainder of the division by 940 is zero. There are infinitely many multiples of 940. The smallest multiples of 940 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 940 too, since 0 × 940 = 0
940: indeed, 940 is a multiple of itself, since 940 is evenly divisible by 940 (we have 940 / 940 = 1, so the remainder of this division is indeed zero)
1 880: indeed, 1 880 = 940 × 2
2 820: indeed, 2 820 = 940 × 3
3 760: indeed, 3 760 = 940 × 4
4 700: indeed, 4 700 = 940 × 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 940). 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 30.659). 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 940

Preceding numbers: …938, 939
Following numbers: 941, 942…

Nearest numbers from 940

Preceding prime number: 937
Following prime number: 941