Is 297 a prime number?

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

For 297, the answer is: No, 297 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 297) is as follows: 1, 3, 9, 11, 27, 33, 99, 297.

For 297 to be a prime number, it would have been required that 297 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

297 is a multiple of 1
297 is a multiple of 3
297 is a multiple of 9
297 is a multiple of 11
297 is a multiple of 27
297 is a multiple of 33
297 is a multiple of 99

For 297 to be a prime number, it would have been required that 297 has only two divisors, i.e., itself and 1.

Is 297 a deficient number?

Yes, 297 is a deficient number, that is to say 297 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 297 without 297 itself (that is 1 + 3 + 9 + 11 + 27 + 33 + 99 = 183).

Parity of 297

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

Find out more:

What is an even number?

Is 297 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 297 is about 17.234.

Thus, the square root of 297 is not an integer, and therefore 297 is not a square number.

What is the square number of 297?

The square of a number (here 297) is the result of the product of this number (297) by itself (i.e., 297 × 297); the square of 297 is sometimes called "raising 297 to the power 2", or "297 squared".

The square of 297 is 88 209 because 297 × 297 = 297² = 88 209.

As a consequence, 297 is the square root of 88 209.

Number of digits of 297

297 is a number with 3 digits.

What are the multiples of 297?

The multiples of 297 are all integers evenly divisible by 297, that is all numbers such that the remainder of the division by 297 is zero. There are infinitely many multiples of 297. The smallest multiples of 297 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 297 too, since 0 × 297 = 0
297: indeed, 297 is a multiple of itself, since 297 is evenly divisible by 297 (we have 297 / 297 = 1, so the remainder of this division is indeed zero)
594: indeed, 594 = 297 × 2
891: indeed, 891 = 297 × 3
1 188: indeed, 1 188 = 297 × 4
1 485: indeed, 1 485 = 297 × 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 297). 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 17.234). 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 297

Preceding numbers: …295, 296
Following numbers: 298, 299…

Nearest numbers from 297

Preceding prime number: 293
Following prime number: 307