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Step-4

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- 15, 35.
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 15 and 35, we can use various methods, such as prime factorization or listing factors.
4	Step	Here’s the prime factorization method for 15 and 35:
5	Step	Prime factorization of 15:	15 = 3 × 5
6	Step	Prime factorization of 35:	35 = 7 × 5
7	Step	Identify the common prime factors:	5
8	Step	Multiply the common prime factors together:	5
9	Step	So, the greatest common divisor of 15 and 35 is 5.
10	Sumup	Can you summarize what you’ve understood in the above steps?
11	Choice.A	This is correct because 5 is the largest common factor of 15 and 35	5
12	Choice.B	This is not a factor of 35. Therefore, option B is not correct	3
13	Choice.C	This is not a factor of either 15 or 35. Therefore, option C is not correct	6
14	Choice.D	Incorrect. 8 cannot be the largest common factor since it does not evenly divide 15 or 35	8
15	Answer	Option	A
16	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the largest common factor numbers- 15, 35.

Hint

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

Step

To find the GCD of 15 and 35, we can use various methods, such as prime factorization or listing factors.

Step

Here’s the prime factorization method for 15 and 35:

Step

Prime factorization of 15:

15 = 3 × 5

Step

Prime factorization of 35:

35 = 7 × 5

Step

Identify the common prime factors:

Step

Multiply the common prime factors together:

Step

So, the greatest common divisor of 15 and 35 is 5.

Sumup

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

Choice.A

This is correct because 5 is the largest common factor of 15 and 35

Choice.B

This is not a factor of 35. Therefore, option B is not correct

Choice.C

This is not a factor of either 15 or 35. Therefore, option C is not correct

Choice.D

Incorrect. 8 cannot be the largest common factor since it does not evenly divide 15 or 35

Answer

Option

Sumup

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