Is 432 a prime number?

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

For 432, the answer is: No, 432 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 432) is as follows: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432.

For 432 to be a prime number, it would have been required that 432 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

432 is a multiple of 1
432 is a multiple of 2
432 is a multiple of 3
432 is a multiple of 4
432 is a multiple of 6
432 is a multiple of 8
432 is a multiple of 9
432 is a multiple of 12
432 is a multiple of 16
432 is a multiple of 18
432 is a multiple of 24
432 is a multiple of 27
432 is a multiple of 36
432 is a multiple of 48
432 is a multiple of 54
432 is a multiple of 72
432 is a multiple of 108
432 is a multiple of 144
432 is a multiple of 216

For 432 to be a prime number, it would have been required that 432 has only two divisors, i.e., itself and 1.

Is 432 a deficient number?

No, 432 is not a deficient number: to be deficient, 432 should have been such that 432 is larger than the sum of its proper divisors, i.e., the divisors of 432 without 432 itself (that is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 36 + 48 + 54 + 72 + 108 + 144 + 216 = 808).

In fact, 432 is an abundant number; 432 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 36 + 48 + 54 + 72 + 108 + 144 + 216 = 808). The smallest abundant number is 12.

Parity of 432

432 is an even number, because it is evenly divisible by 2: 432 / 2 = 216.

Find out more:

What is an even number?

Is 432 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 432 is about 20.785.

Thus, the square root of 432 is not an integer, and therefore 432 is not a square number.

What is the square number of 432?

The square of a number (here 432) is the result of the product of this number (432) by itself (i.e., 432 × 432); the square of 432 is sometimes called "raising 432 to the power 2", or "432 squared".

The square of 432 is 186 624 because 432 × 432 = 432² = 186 624.

As a consequence, 432 is the square root of 186 624.

Number of digits of 432

432 is a number with 3 digits.

What are the multiples of 432?

The multiples of 432 are all integers evenly divisible by 432, that is all numbers such that the remainder of the division by 432 is zero. There are infinitely many multiples of 432. The smallest multiples of 432 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 432 too, since 0 × 432 = 0
432: indeed, 432 is a multiple of itself, since 432 is evenly divisible by 432 (we have 432 / 432 = 1, so the remainder of this division is indeed zero)
864: indeed, 864 = 432 × 2
1 296: indeed, 1 296 = 432 × 3
1 728: indeed, 1 728 = 432 × 4
2 160: indeed, 2 160 = 432 × 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 432). 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 20.785). 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 432

Preceding numbers: …430, 431
Following numbers: 433, 434…

Nearest numbers from 432

Preceding prime number: 431
Following prime number: 433