Calculating HCF and LCM Using Prime Factorization

What was covered in the previous class?

• Prime factorization

• Fundamentals of HCF and LCM

• Multiplication and division

• Addition and subtraction

What is the rule to remember in the prime factorization method?

• Any number can be expressed as a difference of primes

• Any number can be expressed as a product of primes

• Any number can be expressed as a quotient of primes

• Any number can be expressed as a sum of primes

Which of the following is a prime factor of 56?

• 6

• 8

• 4

• 7

What are the prime factors of 56?

• 2, 2, 2, 5

• 2, 3, 3, 7

• 2, 2, 3, 7

• 2, 2, 2, 7

What is the first step in deriving the HCF of two numbers using the prime factorization method?

• Add the numbers

• Subtract the numbers

• Write the numbers as the product of their prime factors

• Divide the numbers

What is the HCF of 36 and 48?

• 10

• 12

• 6

• 8

What is the first step in deriving the LCM of two numbers using the prime factorization method?

• Add the numbers

• Subtract the numbers

• Write the numbers as the product of their prime factors

• Divide the numbers

How many times does the number 2 appear in the prime factors of 48?

• 3 times

• 2 times

• 4 times

• 5 times

How many times does the number 3 appear in the prime factors of 36?

• 1 time

• 2 times

• 4 times

• 3 times

What is the LCM of 36 and 48?

• 144

• 120

• 96

• 72