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Division Ladders are useful for finding Greatest Common Factors, also known as Greatest Common Divisors. If your math problem is 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, 2x2x2 = 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.

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Q: What is an example of a division ladder?
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Related questions

Using a division ladder What is the GCF of 24 and 60?

division ladder for 12,16,28 and the gcf of all them


How do you use the division ladder to find the GCF of 10 and 15?

The GCF of 10 and 15 is 5.


Division ladder to find product of prime factors?

Yes.


How do you use a division ladder?

when you need to get it down to a prime number


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5


How do you make a division ladder with odd numbers?

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The GCF is 3.


Use a division ladder to find the GCF of 5 and 9?

The GCF is 1.


Does the first number in greatest common factor division ladder have to be a prime number?

No.


How do you find the GCF in a division ladder of 18 and 57?

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How do you get the GCF of 28 and 48?

either list factors, do factor trees, or division ladder


What is a division ladder?

A division ladder is a method of finding the prime factors of a number. The number is divided by a prime number. That result is divided by another prime number. This continues until the result itself is a prime number. This result and the divisor from each step are the prime factors of the number. Here are the steps, but not quite the appearance of the division ladder. 108 ÷ 2 = 54 ÷ 2 = 27 ÷ 3 = 9 ÷ 3 = 3 The prime factors of 108 are 2, 2, 3, 3, and 3. Here is an example that better replicates the appearance of a division ladder that goes downward. 2 | 168 ...----- ..2 | 84 .....---- ..2 | 42 .....---- ..3 | 21 .....---- .........7 The prime factors of 168 are 2, 2, 2, 3, and 7.