Is 483 a prime number?

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

For 483, the answer is: No, 483 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 483) is as follows: 1, 3, 7, 21, 23, 69, 161, 483.

For 483 to be a prime number, it would have been required that 483 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

483 is a multiple of 1
483 is a multiple of 3
483 is a multiple of 7
483 is a multiple of 21
483 is a multiple of 23
483 is a multiple of 69
483 is a multiple of 161

For 483 to be a prime number, it would have been required that 483 has only two divisors, i.e., itself and 1.

Is 483 a deficient number?

Yes, 483 is a deficient number, that is to say 483 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 483 without 483 itself (that is 1 + 3 + 7 + 21 + 23 + 69 + 161 = 285).

Parity of 483

483 is an odd number, because it is not evenly divisible by 2.

Find out more:

What is an even number?

Is 483 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 483 is about 21.977.

Thus, the square root of 483 is not an integer, and therefore 483 is not a square number.

What is the square number of 483?

The square of a number (here 483) is the result of the product of this number (483) by itself (i.e., 483 × 483); the square of 483 is sometimes called "raising 483 to the power 2", or "483 squared".

The square of 483 is 233 289 because 483 × 483 = 483² = 233 289.

As a consequence, 483 is the square root of 233 289.

Number of digits of 483

483 is a number with 3 digits.

What are the multiples of 483?

The multiples of 483 are all integers evenly divisible by 483, that is all numbers such that the remainder of the division by 483 is zero. There are infinitely many multiples of 483. The smallest multiples of 483 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 483 too, since 0 × 483 = 0
483: indeed, 483 is a multiple of itself, since 483 is evenly divisible by 483 (we have 483 / 483 = 1, so the remainder of this division is indeed zero)
966: indeed, 966 = 483 × 2
1 449: indeed, 1 449 = 483 × 3
1 932: indeed, 1 932 = 483 × 4
2 415: indeed, 2 415 = 483 × 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 483). 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 21.977). 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 483

Preceding numbers: …481, 482
Following numbers: 484, 485…

Nearest numbers from 483

Preceding prime number: 479
Following prime number: 487