0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Blake
Ezra
ReneAdd your answer:
Earn +20 pts
Division ladder to find product of prime factors?
Yes.
How do you find the GCF in a division ladder of 18 and 57?
The GCF of 18 and 57 is 3.
How do you make 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.
Division ladder for 11 and 23?
11 and 23 have no common factors other than 1.
What is a division ladder for 25 75?
Don't bother. Since 25 is a factor of 75, it is automatically the GCF.
