Is 494 a prime number?

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

For 494, the answer is: No, 494 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 494) is as follows: 1, 2, 13, 19, 26, 38, 247, 494.

For 494 to be a prime number, it would have been required that 494 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

494 is a multiple of 1
494 is a multiple of 2
494 is a multiple of 13
494 is a multiple of 19
494 is a multiple of 26
494 is a multiple of 38
494 is a multiple of 247

For 494 to be a prime number, it would have been required that 494 has only two divisors, i.e., itself and 1.

Is 494 a deficient number?

Yes, 494 is a deficient number, that is to say 494 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 494 without 494 itself (that is 1 + 2 + 13 + 19 + 26 + 38 + 247 = 346).

Parity of 494

494 is an even number, because it is evenly divisible by 2: 494 / 2 = 247.

Find out more:

What is an even number?

Is 494 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 494 is about 22.226.

Thus, the square root of 494 is not an integer, and therefore 494 is not a square number.

What is the square number of 494?

The square of a number (here 494) is the result of the product of this number (494) by itself (i.e., 494 × 494); the square of 494 is sometimes called "raising 494 to the power 2", or "494 squared".

The square of 494 is 244 036 because 494 × 494 = 494² = 244 036.

As a consequence, 494 is the square root of 244 036.

Number of digits of 494

494 is a number with 3 digits.

What are the multiples of 494?

The multiples of 494 are all integers evenly divisible by 494, that is all numbers such that the remainder of the division by 494 is zero. There are infinitely many multiples of 494. The smallest multiples of 494 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 494 too, since 0 × 494 = 0
494: indeed, 494 is a multiple of itself, since 494 is evenly divisible by 494 (we have 494 / 494 = 1, so the remainder of this division is indeed zero)
988: indeed, 988 = 494 × 2
1 482: indeed, 1 482 = 494 × 3
1 976: indeed, 1 976 = 494 × 4
2 470: indeed, 2 470 = 494 × 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 494). 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 22.226). 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 494

Preceding numbers: …492, 493
Following numbers: 495, 496…

Nearest numbers from 494

Preceding prime number: 491
Following prime number: 499