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Lesson Example Discussion Quiz: Class Homework

Step-1

Title: Large factor

Grade: 6-a Lesson: S1-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the largest common factor numbers - 66,132.
2	Hint	The largest common factor of two numbers is also known as the greatest common divisor (GCD).
3	Step	To find the GCD of 66 and 132, we can use various methods, such as prime factorization or listing factors.
4	Step	Here’s the prime factorization method for 66 and 132:
5	Step	Prime factorization of 66:	66 = 2 × 3 × 11
6	Step	Prime factorization of 132:	132 = 2 × 2 × 3 × 11
7	Step	Identify the common prime factors:	2, 3, and 11
8	Step	Multiply the common prime factors together:	2 × 3 × 11 = 66
9	Step	So, the greatest common divisor of 66 and 132 is 66.
10	Sumup	Can you summarize what you’ve understood in the above steps?
11	Choice.A	This is wrong because it does not divide 66 and 132 without leaving a remainder, so it’s not the greatest common factor	11
12	Choice.B	This is correct because it is the largest number that divides both 66 and 132 without leaving a remainder	66
13	Choice.C	This is not correct because it is a factor of 66 but not of 132	33
14	Choice.D	This is wrong because It does not divide both 66 and 132 without leaving a remainder, so it’s not the greatest common factor	18
15	Answer	Option	B
16	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the largest common factor numbers - 66,132.

Hint

The largest common factor of two numbers is also known as the greatest common divisor (GCD).

Step

To find the GCD of 66 and 132, we can use various methods, such as prime factorization or listing factors.

Step

Here’s the prime factorization method for 66 and 132:

Step

Prime factorization of 66:

66 = 2 × 3 × 11

Step

Prime factorization of 132:

132 = 2 × 2 × 3 × 11

Step

Identify the common prime factors:

2, 3, and 11

Step

Multiply the common prime factors together:

2 × 3 × 11 = 66

Step

So, the greatest common divisor of 66 and 132 is 66.

Sumup

Can you summarize what you’ve understood in the above steps?

Choice.A

This is wrong because it does not divide 66 and 132 without leaving a remainder, so it’s not the greatest common factor

Choice.B

This is correct because it is the largest number that divides both 66 and 132 without leaving a remainder

Choice.C

This is not correct because it is a factor of 66 but not of 132

Choice.D

This is wrong because It does not divide both 66 and 132 without leaving a remainder, so it’s not the greatest common factor

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?