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How can you find the number of positive divisors of a natural number without listing all the divisors?
What you are trying to do is called the tau function - the number of positive divisors of a natural number, n, is written as tau(n). How to do it: Simplify your number into its prime factors. For example, 84 = 4 * 3 * 7 = (2^2) * (3^1) * (7^1). Then, make a list of all the powers from the previous step. This gives us a list of 2, 1, and 1. Add one to every number in the list. Our list is now 3, 2, and 2. Multiply all the numbers in the list together, and you're done. 3 * 2 * 2 = 12. 84 has 12 positive divisors, which is easily verified: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
How many divisors does 320 have?
320 has 14 divisors.
What are the divisors of no 23?
The divisors of 23 are: 1, 23.
What is the sum of the divisors of 1211?
Sum of divisors: 1,392.
What are the divisors of 66?
The divisors of 66 are 1,2,3,6,11,22,33 and 66.
How many divisors in 84?
84 has 12 divisors.
What is the greatest common divisors for 14 49 56 84?
The GCF is 7.
Is 6 a divisor of 84?
Yes, it is. These are all the divisors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
What numbers can divide 84 evenly?
2, 3, 4, 6, 7, 12, 14, 21, 28, 42. Also 1 and 84, but Mathematicians don't usually regard these as proper divisors.
Is 84 a factor of 42?
Yes. 14 is one of 12 divisors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
How do you use divisors?
Divisors are used to divide numbers.
How can you find the number of positive divisors of a natural number without listing all the divisors?
What you are trying to do is called the tau function - the number of positive divisors of a natural number, n, is written as tau(n). How to do it: Simplify your number into its prime factors. For example, 84 = 4 * 3 * 7 = (2^2) * (3^1) * (7^1). Then, make a list of all the powers from the previous step. This gives us a list of 2, 1, and 1. Add one to every number in the list. Our list is now 3, 2, and 2. Multiply all the numbers in the list together, and you're done. 3 * 2 * 2 = 12. 84 has 12 positive divisors, which is easily verified: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
What are the divisors of 588?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
What is 16's Divisors?
2,4,8 (1 and 16 are divisors too, but the number and 1 are always divisors)
What is the sum of the divisors of 36?
Sum of divisors = 91.
What are the divisors of 41231?
The divisors of 41231 are: 1, 41231.
How many divisors of twelve?
12 has six divisors.
