Is 481 a prime number?

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

For 481, the answer is: No, 481 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 481) is as follows: 1, 13, 37, 481.

For 481 to be a prime number, it would have been required that 481 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

481 is a multiple of 1
481 is a multiple of 13
481 is a multiple of 37

For 481 to be a prime number, it would have been required that 481 has only two divisors, i.e., itself and 1.

However, 481 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 481 = 13 x 37, where 13 and 37 are both prime numbers.

Is 481 a deficient number?

Yes, 481 is a deficient number, that is to say 481 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 481 without 481 itself (that is 1 + 13 + 37 = 51).

Parity of 481

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

Find out more:

What is an even number?

Is 481 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 481 is about 21.932.

Thus, the square root of 481 is not an integer, and therefore 481 is not a square number.

What is the square number of 481?

The square of a number (here 481) is the result of the product of this number (481) by itself (i.e., 481 × 481); the square of 481 is sometimes called "raising 481 to the power 2", or "481 squared".

The square of 481 is 231 361 because 481 × 481 = 481² = 231 361.

As a consequence, 481 is the square root of 231 361.

Number of digits of 481

481 is a number with 3 digits.

What are the multiples of 481?

The multiples of 481 are all integers evenly divisible by 481, that is all numbers such that the remainder of the division by 481 is zero. There are infinitely many multiples of 481. The smallest multiples of 481 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 481 too, since 0 × 481 = 0
481: indeed, 481 is a multiple of itself, since 481 is evenly divisible by 481 (we have 481 / 481 = 1, so the remainder of this division is indeed zero)
962: indeed, 962 = 481 × 2
1 443: indeed, 1 443 = 481 × 3
1 924: indeed, 1 924 = 481 × 4
2 405: indeed, 2 405 = 481 × 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 481). 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 21.932). 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 481

Preceding numbers: …479, 480
Following numbers: 482, 483…

Nearest numbers from 481

Preceding prime number: 479
Following prime number: 487