How many divisors does 12 factorial have?

Example: 12 has for divisors 6, 4, 3, 2 and 1. And the sum 6+4+3+2+1=15 6 + 4 + 3 + 2 + 1 = 15 superior to 12, so 12 is an abundant number.

How many divisors does 10 factorial have?

Then in addition to all of the numbers which are multiples of 10 or 102 (which give ⌊500/10⌋+⌊500/102⌋=50+5=55 factors of 10), there are further factors of 10 from other multiples of 2 and 5 such as 2×5, 15×18, and so on….Solution.

Number	Prime factorisation
10	2×5
11	11
12	22×3
13	13

What are the divisors of 8?

Divisors of numbers

Number	Prime factorization	Divisors
6	2 * 3	1, 2, 3, 6
7	7	1, 7
8	23	1, 2, 4, 8
9	32	1, 3, 9

What are the divisors of 24?

The divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

How many positive divisors does 6 factorial have?

It is 6! (6 factorial), a composite number with thirty divisors, more than any number below, making it a highly composite number.

What are the divisors of 45?

Divisibility of 45 The number 45 is divisible by 3, 5 and 9.

How do you find the number of divisors of a prime?

Once you have the number of factors of each prime, it’s pretty simple to count the number of divisors. If there are k factors of p in n!, then each divisor h First, find all the primes between 1 and n, inclusive. Next, we’ll count how many times each prime goes into n!.

How do you find the number of factors of 5?

Multiply one plus the number of factors for each p and you have your answer. Take 5! as an example. There are ⌊ 5 2 ⌋ + ⌊ 5 4 ⌋ = 2 + 1 = 3 factors of 2, ⌊ 5 3 ⌋ = 1 factor of 3, and ⌊ 5 5 ⌋ = 1 factor of 5 in 5!.

What are the divisors of 3 and 4?

You can check that this is indeed the case. Note that this includes 1 and n!, so you can subtract 1 or 2 from the total if you want to exclude one or both of these. Factorial 3, written as 3! = 3x2x1. So the divisors of 3! are 3,2,1. 4! = 4x3x2x1. So the divisors of 4! are 4,3,2,1.