Prime Factor Decomposition, Highest Common Factor, and Lowest Common Multiple

The video tutorial explains prime factor decomposition using two methods: the tree method and the ladder method. It demonstrates how to break down numbers into prime factors and use these to find the highest common factor (HCF) and the lowest common multiple (LCM). The tutorial provides examples and explains the process of identifying shared factors for HCF and using prime factors for LCM. It concludes with a summary of the methods and their applications.

What is the purpose of prime factor decomposition?

• To calculate the square root of a number

• To identify the largest prime number

• To break down a number into its prime factors

• To find the sum of all factors of a number

Which method is NOT used for prime factor decomposition?

• Tree method

• Ladder method

• Both tree and ladder methods

• Grid method

How do you determine the highest common factor of two numbers?

• By adding all the factors of the numbers

• By subtracting the smaller number from the larger number

• By multiplying all the prime factors of the numbers

• By identifying and multiplying shared prime factors

What is the lowest common multiple of two numbers?

• The difference between the two numbers

• The sum of the two numbers

• The smallest number that is a multiple of both numbers

• The largest number that divides both numbers

Which method can be used to find the LCM using the HCF?

• Multiply the HCF by the unused prime factors

• Divide the HCF by the smallest prime factor

• Multiply the HCF by the sum of the numbers

• Add the HCF to the largest prime factor