Divisors of 72
The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
Accordingly:
72 is multiplo of 1
72 is multiplo of 2
72 is multiplo of 3
72 is multiplo of 4
72 is multiplo of 6
72 is multiplo of 8
72 is multiplo of 9
72 is multiplo of 12
72 is multiplo of 18
72 is multiplo of 24
72 is multiplo of 36
72 has 11 positive divisors
Parity of 72
In addition we can say of the number 72 that it is even
72 is an even number, as it is divisible by 2 : 72/2 = 36
The factors for 72
The factors for 72 are all the numbers between -72 and 72 , which divide 72 without leaving any remainder. Since 72 divided by -72 is an integer, -72 is a factor of 72 .
Since 72 divided by -72 is a whole number, -72 is a factor of 72
Since 72 divided by -36 is a whole number, -36 is a factor of 72
Since 72 divided by -24 is a whole number, -24 is a factor of 72
Since 72 divided by -18 is a whole number, -18 is a factor of 72
Since 72 divided by -12 is a whole number, -12 is a factor of 72
Since 72 divided by -9 is a whole number, -9 is a factor of 72
Since 72 divided by -8 is a whole number, -8 is a factor of 72
Since 72 divided by -6 is a whole number, -6 is a factor of 72
Since 72 divided by -4 is a whole number, -4 is a factor of 72
Since 72 divided by -3 is a whole number, -3 is a factor of 72
Since 72 divided by -2 is a whole number, -2 is a factor of 72
Since 72 divided by -1 is a whole number, -1 is a factor of 72
Since 72 divided by 1 is a whole number, 1 is a factor of 72
Since 72 divided by 2 is a whole number, 2 is a factor of 72
Since 72 divided by 3 is a whole number, 3 is a factor of 72
Since 72 divided by 4 is a whole number, 4 is a factor of 72
Since 72 divided by 6 is a whole number, 6 is a factor of 72
Since 72 divided by 8 is a whole number, 8 is a factor of 72
Since 72 divided by 9 is a whole number, 9 is a factor of 72
Since 72 divided by 12 is a whole number, 12 is a factor of 72
Since 72 divided by 18 is a whole number, 18 is a factor of 72
Since 72 divided by 24 is a whole number, 24 is a factor of 72
Since 72 divided by 36 is a whole number, 36 is a factor of 72
What are the multiples of 72?
Multiples of 72 are all integers divisible by 72 , i.e. the remainder of the full division by 72 is zero. There are infinite multiples of 72. The smallest multiples of 72 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 72 since 0 × 72 = 0
72 : in fact, 72 is a multiple of itself, since 72 is divisible by 72 (it was 72 / 72 = 1, so the rest of this division is zero)
etc.
Is 72 a prime number?
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 72, the answer is: No, 72 is not a prime number.
How do you determine if a number is prime?
To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 72). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 8.485 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.
More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.
Numbers about 72
Prime numbers closer to 72
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Next prime number: 73