Is 94 a prime number?

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

For 94, the answer is: No, 94 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 94) is as follows: 1, 2, 47, 94.

For 94 to be a prime number, it would have been required that 94 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

94 is a multiple of 1
94 is a multiple of 2
94 is a multiple of 47

For 94 to be a prime number, it would have been required that 94 has only two divisors, i.e., itself and 1.

However, 94 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 94 = 2 x 47, where 2 and 47 are both prime numbers.

Is 94 a deficient number?

Yes, 94 is a deficient number, that is to say 94 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 94 without 94 itself (that is 1 + 2 + 47 = 50).

Parity of 94

94 is an even number, because it is evenly divisible by 2: 94 / 2 = 47.

Find out more:

What is an even number?

Is 94 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 94 is about 9.695.

Thus, the square root of 94 is not an integer, and therefore 94 is not a square number.

What is the square number of 94?

The square of a number (here 94) is the result of the product of this number (94) by itself (i.e., 94 × 94); the square of 94 is sometimes called "raising 94 to the power 2", or "94 squared".

The square of 94 is 8 836 because 94 × 94 = 94² = 8 836.

As a consequence, 94 is the square root of 8 836.

Number of digits of 94

94 is a number with 2 digits.

What are the multiples of 94?

The multiples of 94 are all integers evenly divisible by 94, that is all numbers such that the remainder of the division by 94 is zero. There are infinitely many multiples of 94. The smallest multiples of 94 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 94 too, since 0 × 94 = 0
94: indeed, 94 is a multiple of itself, since 94 is evenly divisible by 94 (we have 94 / 94 = 1, so the remainder of this division is indeed zero)
188: indeed, 188 = 94 × 2
282: indeed, 282 = 94 × 3
376: indeed, 376 = 94 × 4
470: indeed, 470 = 94 × 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 94). 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 9.695). 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 94

Preceding numbers: …92, 93
Following numbers: 95, 96…

Nearest numbers from 94

Preceding prime number: 89
Following prime number: 97