Is 388 a prime number?

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

For 388, the answer is: No, 388 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 388) is as follows: 1, 2, 4, 97, 194, 388.

For 388 to be a prime number, it would have been required that 388 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

388 is a multiple of 1
388 is a multiple of 2
388 is a multiple of 4
388 is a multiple of 97
388 is a multiple of 194

For 388 to be a prime number, it would have been required that 388 has only two divisors, i.e., itself and 1.

Is 388 a deficient number?

Yes, 388 is a deficient number, that is to say 388 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 388 without 388 itself (that is 1 + 2 + 4 + 97 + 194 = 298).

Parity of 388

388 is an even number, because it is evenly divisible by 2: 388 / 2 = 194.

Find out more:

What is an even number?

Is 388 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 388 is about 19.698.

Thus, the square root of 388 is not an integer, and therefore 388 is not a square number.

What is the square number of 388?

The square of a number (here 388) is the result of the product of this number (388) by itself (i.e., 388 × 388); the square of 388 is sometimes called "raising 388 to the power 2", or "388 squared".

The square of 388 is 150 544 because 388 × 388 = 388² = 150 544.

As a consequence, 388 is the square root of 150 544.

Number of digits of 388

388 is a number with 3 digits.

What are the multiples of 388?

The multiples of 388 are all integers evenly divisible by 388, that is all numbers such that the remainder of the division by 388 is zero. There are infinitely many multiples of 388. The smallest multiples of 388 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 388 too, since 0 × 388 = 0
388: indeed, 388 is a multiple of itself, since 388 is evenly divisible by 388 (we have 388 / 388 = 1, so the remainder of this division is indeed zero)
776: indeed, 776 = 388 × 2
1 164: indeed, 1 164 = 388 × 3
1 552: indeed, 1 552 = 388 × 4
1 940: indeed, 1 940 = 388 × 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 388). 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 19.698). 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 388

Preceding numbers: …386, 387
Following numbers: 389, 390…

Nearest numbers from 388

Preceding prime number: 383
Following prime number: 389