Is 484 a prime number?

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

For 484, the answer is: No, 484 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 484) is as follows: 1, 2, 4, 11, 22, 44, 121, 242, 484.

For 484 to be a prime number, it would have been required that 484 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

484 is a multiple of 1
484 is a multiple of 2
484 is a multiple of 4
484 is a multiple of 11
484 is a multiple of 22
484 is a multiple of 44
484 is a multiple of 121
484 is a multiple of 242

For 484 to be a prime number, it would have been required that 484 has only two divisors, i.e., itself and 1.

Is 484 a deficient number?

Yes, 484 is a deficient number, that is to say 484 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 484 without 484 itself (that is 1 + 2 + 4 + 11 + 22 + 44 + 121 + 242 = 447).

Parity of 484

484 is an even number, because it is evenly divisible by 2: 484 / 2 = 242.

Find out more:

What is an even number?

Is 484 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 484 is 22.

Therefore, the square root of 484 is an integer, and as a consequence 484 is a perfect square.

As a consequence, 22 is the square root of 484.

What is the square number of 484?

The square of a number (here 484) is the result of the product of this number (484) by itself (i.e., 484 × 484); the square of 484 is sometimes called "raising 484 to the power 2", or "484 squared".

The square of 484 is 234 256 because 484 × 484 = 484² = 234 256.

As a consequence, 484 is the square root of 234 256.

Number of digits of 484

484 is a number with 3 digits.

What are the multiples of 484?

The multiples of 484 are all integers evenly divisible by 484, that is all numbers such that the remainder of the division by 484 is zero. There are infinitely many multiples of 484. The smallest multiples of 484 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 484 too, since 0 × 484 = 0
484: indeed, 484 is a multiple of itself, since 484 is evenly divisible by 484 (we have 484 / 484 = 1, so the remainder of this division is indeed zero)
968: indeed, 968 = 484 × 2
1 452: indeed, 1 452 = 484 × 3
1 936: indeed, 1 936 = 484 × 4
2 420: indeed, 2 420 = 484 × 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 484). 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 22). 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 484

Preceding numbers: …482, 483
Following numbers: 485, 486…

Nearest numbers from 484

Preceding prime number: 479
Following prime number: 487