Is 492 a prime number?

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

For 492, the answer is: No, 492 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 492) is as follows: 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492.

For 492 to be a prime number, it would have been required that 492 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

492 is a multiple of 1
492 is a multiple of 2
492 is a multiple of 3
492 is a multiple of 4
492 is a multiple of 6
492 is a multiple of 12
492 is a multiple of 41
492 is a multiple of 82
492 is a multiple of 123
492 is a multiple of 164
492 is a multiple of 246

For 492 to be a prime number, it would have been required that 492 has only two divisors, i.e., itself and 1.

Is 492 a deficient number?

No, 492 is not a deficient number: to be deficient, 492 should have been such that 492 is larger than the sum of its proper divisors, i.e., the divisors of 492 without 492 itself (that is 1 + 2 + 3 + 4 + 6 + 12 + 41 + 82 + 123 + 164 + 246 = 684).

In fact, 492 is an abundant number; 492 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 12 + 41 + 82 + 123 + 164 + 246 = 684). The smallest abundant number is 12.

Parity of 492

492 is an even number, because it is evenly divisible by 2: 492 / 2 = 246.

Find out more:

What is an even number?

Is 492 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 492 is about 22.181.

Thus, the square root of 492 is not an integer, and therefore 492 is not a square number.

What is the square number of 492?

The square of a number (here 492) is the result of the product of this number (492) by itself (i.e., 492 × 492); the square of 492 is sometimes called "raising 492 to the power 2", or "492 squared".

The square of 492 is 242 064 because 492 × 492 = 492² = 242 064.

As a consequence, 492 is the square root of 242 064.

Number of digits of 492

492 is a number with 3 digits.

What are the multiples of 492?

The multiples of 492 are all integers evenly divisible by 492, that is all numbers such that the remainder of the division by 492 is zero. There are infinitely many multiples of 492. The smallest multiples of 492 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 492 too, since 0 × 492 = 0
492: indeed, 492 is a multiple of itself, since 492 is evenly divisible by 492 (we have 492 / 492 = 1, so the remainder of this division is indeed zero)
984: indeed, 984 = 492 × 2
1 476: indeed, 1 476 = 492 × 3
1 968: indeed, 1 968 = 492 × 4
2 460: indeed, 2 460 = 492 × 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 492). 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 22.181). 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 492

Preceding numbers: …490, 491
Following numbers: 493, 494…

Nearest numbers from 492

Preceding prime number: 491
Following prime number: 499