Is 372 a prime number?

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

For 372, the answer is: No, 372 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 372) is as follows: 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372.

For 372 to be a prime number, it would have been required that 372 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

372 is a multiple of 1
372 is a multiple of 2
372 is a multiple of 3
372 is a multiple of 4
372 is a multiple of 6
372 is a multiple of 12
372 is a multiple of 31
372 is a multiple of 62
372 is a multiple of 93
372 is a multiple of 124
372 is a multiple of 186

For 372 to be a prime number, it would have been required that 372 has only two divisors, i.e., itself and 1.

Is 372 a deficient number?

No, 372 is not a deficient number: to be deficient, 372 should have been such that 372 is larger than the sum of its proper divisors, i.e., the divisors of 372 without 372 itself (that is 1 + 2 + 3 + 4 + 6 + 12 + 31 + 62 + 93 + 124 + 186 = 524).

In fact, 372 is an abundant number; 372 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 12 + 31 + 62 + 93 + 124 + 186 = 524). The smallest abundant number is 12.

Parity of 372

372 is an even number, because it is evenly divisible by 2: 372 / 2 = 186.

Find out more:

What is an even number?

Is 372 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 372 is about 19.287.

Thus, the square root of 372 is not an integer, and therefore 372 is not a square number.

What is the square number of 372?

The square of a number (here 372) is the result of the product of this number (372) by itself (i.e., 372 × 372); the square of 372 is sometimes called "raising 372 to the power 2", or "372 squared".

The square of 372 is 138 384 because 372 × 372 = 372² = 138 384.

As a consequence, 372 is the square root of 138 384.

Number of digits of 372

372 is a number with 3 digits.

What are the multiples of 372?

The multiples of 372 are all integers evenly divisible by 372, that is all numbers such that the remainder of the division by 372 is zero. There are infinitely many multiples of 372. The smallest multiples of 372 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 372 too, since 0 × 372 = 0
372: indeed, 372 is a multiple of itself, since 372 is evenly divisible by 372 (we have 372 / 372 = 1, so the remainder of this division is indeed zero)
744: indeed, 744 = 372 × 2
1 116: indeed, 1 116 = 372 × 3
1 488: indeed, 1 488 = 372 × 4
1 860: indeed, 1 860 = 372 × 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 372). 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 19.287). 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 372

Preceding numbers: …370, 371
Following numbers: 373, 374…

Nearest numbers from 372

Preceding prime number: 367
Following prime number: 373