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Lesson Example Discussion Quiz: Class Homework

Step-2

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 - 75, 150.
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 75 and 150, we can use various methods, such as prime factorization or listing factors.
4	Step	Here’s the prime factorization method for 75 and 150:
5	Step	Prime factorization of 75:	75 = 3 × 5 × 5
6	Step	Prime factorization of 150:	150 = 2 × 3 × 5 × 5
7	Step	Identify the common prime factors:	3, and 5
8	Step	Multiply the common prime factors together:	3 × 5 = 15
9	Step	So, the greatest common divisor of 75 and 150 is 15.
10	Sumup	Can you summarize what you’ve understood in the above steps?
11	Choice.A	This is not correct because 17 is not a factor of both 75 and 150	17
12	Choice.B	This is not correct because 18 is not a factor of both 75 and 150	18
13	Choice.C	This is not correct because 19 is not a factor of either 75 or 150	19
14	Choice.D	This is correct because it is the largest number that divides both 75 and 150 evenly	15
15	Answer	Option	D
16	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the largest common factor numbers - 75, 150.

Hint

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

Step

To find the GCD of 75 and 150, we can use various methods, such as prime factorization or listing factors.

Step

Here’s the prime factorization method for 75 and 150:

Step

Prime factorization of 75:

75 = 3 × 5 × 5

Step

Prime factorization of 150:

150 = 2 × 3 × 5 × 5

Step

Identify the common prime factors:

3, and 5

Step

Multiply the common prime factors together:

3 × 5 = 15

Step

So, the greatest common divisor of 75 and 150 is 15.

Sumup

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

Choice.A

This is not correct because 17 is not a factor of both 75 and 150

Choice.B

This is not correct because 18 is not a factor of both 75 and 150

Choice.C

This is not correct because 19 is not a factor of either 75 or 150

Choice.D

This is correct because it is the largest number that divides both 75 and 150 evenly

Answer

Option

Sumup

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