Is 284 a prime number?

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

For 284, the answer is: No, 284 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 284) is as follows: 1, 2, 4, 71, 142, 284.

For 284 to be a prime number, it would have been required that 284 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

284 is a multiple of 1
284 is a multiple of 2
284 is a multiple of 4
284 is a multiple of 71
284 is a multiple of 142

For 284 to be a prime number, it would have been required that 284 has only two divisors, i.e., itself and 1.

Is 284 a deficient number?

Yes, 284 is a deficient number, that is to say 284 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 284 without 284 itself (that is 1 + 2 + 4 + 71 + 142 = 220).

Parity of 284

284 is an even number, because it is evenly divisible by 2: 284 / 2 = 142.

Find out more:

What is an even number?

Is 284 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 284 is about 16.852.

Thus, the square root of 284 is not an integer, and therefore 284 is not a square number.

What is the square number of 284?

The square of a number (here 284) is the result of the product of this number (284) by itself (i.e., 284 × 284); the square of 284 is sometimes called "raising 284 to the power 2", or "284 squared".

The square of 284 is 80 656 because 284 × 284 = 284² = 80 656.

As a consequence, 284 is the square root of 80 656.

Number of digits of 284

284 is a number with 3 digits.

What are the multiples of 284?

The multiples of 284 are all integers evenly divisible by 284, that is all numbers such that the remainder of the division by 284 is zero. There are infinitely many multiples of 284. The smallest multiples of 284 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 284 too, since 0 × 284 = 0
284: indeed, 284 is a multiple of itself, since 284 is evenly divisible by 284 (we have 284 / 284 = 1, so the remainder of this division is indeed zero)
568: indeed, 568 = 284 × 2
852: indeed, 852 = 284 × 3
1 136: indeed, 1 136 = 284 × 4
1 420: indeed, 1 420 = 284 × 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 284). 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 16.852). 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 284

Preceding numbers: …282, 283
Following numbers: 285, 286…

Nearest numbers from 284

Preceding prime number: 283
Following prime number: 293