0
How do you find all the factors for a number without listing them all?
Wiki User
∙ 9y ago
It is not simple. The only systematic way is to find the prime factorisation of the number and write it in exponential form.
So suppose n = (p1^r1)*(p2^r2)*...*(pk^rk) where p1, p2, ... pk are prime numbers and rk are the indices (or powers).
Then the factors of n are (p1^s1)*(p2^s2)*...*(pk^sk) where 0 ≤ sk ≤ rk. And remember that anything raised to the power 0 is 1.
Example:
n = 72 = 2*2*2*3*3 = (2^3)*(3^2)
so, the factors of n are (2^a)*(3^b) where a = 0, 1, 2 or 3 and b = 0, 1 or 2.
When
(a, b) = (0, 0) the factor is 1.
(a, b) = (1, 0) the factor is 2.
(a, b) = (2, 0) the factor is 4.
(a, b) = (3, 0) the factor is 8.
(a, b) = (0, 1) the factor is 3.
(a, b) = (1, 1) the factor is 6.
(a, b) = (2, 1) the factor is 12.
(a, b) = (3, 1) the factor is 24.
(a, b) = (0, 2) the factor is 9.
(a, b) = (1, 2) the factor is 18.
(a, b) = (2, 2) the factor is 36.
(a, b) = (3, 2) the factor is 72.
Wiki User
∙ 9y ago
Add your answer:
Earn +20 pts
What is the division ladder what is the GCF of 82?
The division ladder is a method used to find the greatest common factor (GCF) of two numbers by listing the factors of each number. To find the GCF of 82, you would start by factoring the number 82. The factors of 82 are 1, 2, 41, and 82. Therefore, the GCF of 82 is 1.
How do you find out if a number is a prime or composite number?
Find the factors of the number. If the only factors are 1 and itself, it is prime.A prime number is a positive integer with two factors: one and the number itself.A composite number is a positive integer with more than two factors.
What does draw arrays to find the factors of each number mean?
Factors are integers that multiply to create a product.3 x 4 = 123 and 4 are factors of 12.Divisibility refers to a number capable of being divided by another number without a remainder: 24 is divisible by 4.
How could you quickly find the factors for all the even numbers 50 to 100?
You can quickly find the factors for even numbers 50 to 100 by dividing each number by all possible factors (starting from 2) until reaching the square root of the number. If a number is divisible without a remainder, then it is a factor of that even number. Repeat this process for each even number between 50 and 100.
What are 2 methods to solve a gcf problem?
Two methods to solve a greatest common factor (GCF) problem are the prime factorization method and the listing method. In the prime factorization method, you find the prime factors of each number and determine the common factors. The GCF is the product of the common prime factors. In the listing method, you list the factors of each number and find the common factors. The GCF is the greatest common factor from the common factors list.
How can you find the GCF of a given set of numbers given their LCM but without listing the factors of the numbers?
By finding their common prime numbers.
How do you find the GCF by listing all the factors of each number?
Example: 30 and 42 1,2,3,5,6,10,15,30 1,2,3,6,7,14,21,42 The GCF is 6.
How you know that any numbers have at least one common factor?
You can start by listing out each number's factors. Then, when you find at least one common factor, that is your answer!
How do you get 60 for 12345 as factors What is the name for that number?
To find the smallest number that has 1, 2, 3, 4 and 5 as factors, you're looking for the least common multiple, or LCM, of those numbers. You can find that by listing the multiples of each number but it's faster to combine their prime factors. You need two twos, a three and a five. 2 x 2 x 3 x 5 = 60
What is listing methods?
To find the GCF or the LCM of a set of numbers, it is sometimes practical to write out lists of the factors or multiples as the case may be and compare them. This is known as the listing method.
What is the division ladder what is the GCF of 82?
The division ladder is a method used to find the greatest common factor (GCF) of two numbers by listing the factors of each number. To find the GCF of 82, you would start by factoring the number 82. The factors of 82 are 1, 2, 41, and 82. Therefore, the GCF of 82 is 1.
Will prime factorization help find the number of factors of any number?
Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors.
What is the definition of listing method?
To find the GCF or the LCM of a set of numbers, it is sometimes practical to write out lists of the factors or multiples as the case may be and compare them. This is known as the listing method.
How do you find out if a number is a prime or composite number?
Find the factors of the number. If the only factors are 1 and itself, it is prime.A prime number is a positive integer with two factors: one and the number itself.A composite number is a positive integer with more than two factors.
Would you rather find all the factors of a number or find all the prime factors of a number?
Once all the prime factors of a number have been found, the number of factors the number has and what they are can be found. I'd be finding the prime factors first before finding all the factors of a number, so I'd rather find all the prime factors as it means I can stop before I have to do more work in finding all the factors.
What does draw arrays to find the factors of each number mean?
Factors are integers that multiply to create a product.3 x 4 = 123 and 4 are factors of 12.Divisibility refers to a number capable of being divided by another number without a remainder: 24 is divisible by 4.
How do you find expired multiple listing?
How to find an expired listing on the multiple service listing site
