answersLogoWhite

0


Best Answer

Division Ladders are useful for finding Greatest Common Factors, also known as Greatest Common Divisors. If your math problem is to find the GCF of 32, 24 and 40 using a Division Ladder, you would find the answer thusly:

2 |32, 24, 40

, |_________

2 |16, 12, 20

, |________

2 | 8, 6, 10

, |________

, 4, 3, 5

You would be dividing by 2 in this case, then multiply your divisors, 2 x 2 x 2 = 8. Your Greatest Common Factor for 32, 24 and 40 is 8. I used the commas for placeholders, as without them, the vertical lines don't line up.

User Avatar

Wiki User

9y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you find the greatest common factor using the ladder method?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Movies & Television

What is the GCF of 123515 using division ladder?

The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! The greatest factor of any number is itself. So you do not need to use the division ladder or any other method!


What is the ladder method?

It's a method that lets you quickly find both the greatest common factor and the least common multiple of two numbers. I am not sure how well it works for more than two numbers at a time. If you search online for "ladder method", you'll quickly find several videos that show you how to do it.


How do you use the Ladder Method for the GCM?

The greatest common multiple of any set of integers is infinite, no matter what method you use.


What is the greatest common factor of 196 and 1078?

196: 2-2-2-2-11 1078: 2-7-7-11 Greatest common factor: 22 Method(s) used: # The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.


What is the greatest common factor method of 132?

It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! There can, therefore, be no method for a question that has no meaning.

Related questions

What is the GCF of 123515 using division ladder?

The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! The greatest factor of any number is itself. So you do not need to use the division ladder or any other method!


What is the ladder method?

It's a method that lets you quickly find both the greatest common factor and the least common multiple of two numbers. I am not sure how well it works for more than two numbers at a time. If you search online for "ladder method", you'll quickly find several videos that show you how to do it.


How do you use the Ladder Method for the GCM?

The greatest common multiple of any set of integers is infinite, no matter what method you use.


What is the greatest common factor of 121 and 132?

121: 11-11 132: 2-2-3-11 Great common factor: 11 Method(s) used: # (used) The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.


What is the greatest common factor of 196 and 1078?

196: 2-2-2-2-11 1078: 2-7-7-11 Greatest common factor: 22 Method(s) used: # The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.


Why does the listing method always works to find the greatest common factor?

The greatest common factor of two numbers has to show up on the lists of factors of both numbers.


What is the greatest common factor of 18 and 20 using listing method?

It is: 2


What is the greatest common factor method of 132?

It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! There can, therefore, be no method for a question that has no meaning.


What is the greatest common factor of 46 168 and 280?

The highest common factor of 46 and 138 is 46Factorization method:46 = 2×23138 = 2×3×23highest common factor = 2×23 = 46Alternative (modular) method:138 mod 46 = 0so 46 is the highest common factor.


What is the greatest common factor of 144 180 and 192 through prime factorizing method?

It is 12


What is the greatest common factor method of 15?

It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question!


What is Continuous division method of 24?

greatest common factor by using intersection of sets method,prime factorization method and continous division method of 72,96 and 200