Is 369 a prime number?

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

For 369, the answer is: No, 369 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 369) is as follows: 1, 3, 9, 41, 123, 369.

For 369 to be a prime number, it would have been required that 369 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

369 is a multiple of 1
369 is a multiple of 3
369 is a multiple of 9
369 is a multiple of 41
369 is a multiple of 123

For 369 to be a prime number, it would have been required that 369 has only two divisors, i.e., itself and 1.

Is 369 a deficient number?

Yes, 369 is a deficient number, that is to say 369 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 369 without 369 itself (that is 1 + 3 + 9 + 41 + 123 = 177).

Parity of 369

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

Find out more:

What is an even number?

Is 369 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 369 is about 19.209.

Thus, the square root of 369 is not an integer, and therefore 369 is not a square number.

What is the square number of 369?

The square of a number (here 369) is the result of the product of this number (369) by itself (i.e., 369 × 369); the square of 369 is sometimes called "raising 369 to the power 2", or "369 squared".

The square of 369 is 136 161 because 369 × 369 = 369² = 136 161.

As a consequence, 369 is the square root of 136 161.

Number of digits of 369

369 is a number with 3 digits.

What are the multiples of 369?

The multiples of 369 are all integers evenly divisible by 369, that is all numbers such that the remainder of the division by 369 is zero. There are infinitely many multiples of 369. The smallest multiples of 369 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 369 too, since 0 × 369 = 0
369: indeed, 369 is a multiple of itself, since 369 is evenly divisible by 369 (we have 369 / 369 = 1, so the remainder of this division is indeed zero)
738: indeed, 738 = 369 × 2
1 107: indeed, 1 107 = 369 × 3
1 476: indeed, 1 476 = 369 × 4
1 845: indeed, 1 845 = 369 × 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 369). 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 19.209). 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 369

Preceding numbers: …367, 368
Following numbers: 370, 371…

Nearest numbers from 369

Preceding prime number: 367
Following prime number: 373