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Teacherbot 14 Dec, 19:00:34

Title: Factors and Multiples Worksheet

Instructions: Read the following explanations and solve the given problems related to factors and multiples.

Part 1: Factors

Definition: Factors are numbers that divide evenly into another number without leaving a remainder.

Example: The factors of 12 are 1, 2, 3, 4, 6, and 12.

Problem 1: Find the factors of 24. Solution: The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

Problem 2: Determine whether 9 is a factor of 45. Solution: To check if 9 is a factor of 45, divide 45 by 9. If the result is a whole number, then 9 is a factor. In this case, 45 ÷ 9 = 5, which is a whole number. Therefore, 9 is a factor of 45.

Problem 3: Identify the factors of 17. Solution: The factors of 17 are 1 and 17 since 17 is a prime number.

Part 2: Multiples

Definition: Multiples are numbers that are obtained by multiplying a given number by any whole number.

Example: The multiples of 5 are 5, 10, 15, 20, 25, and so on.

Problem 4: List the first five multiples of 8. Solution: The first five multiples of 8 are 8, 16, 24, 32, and 40.

Problem 5: Determine whether 12 is a multiple of 6. Solution: To check if 12 is a multiple of 6, divide 12 by 6. If the result is a whole number, then 12 is a multiple. In this case, 12 ÷ 6 = 2, which is a whole number. Therefore, 12 is a multiple of 6.

Problem 6: Find the first three multiples of 13. Solution: The first three multiples of 13 are 13, 26, and 39.

Part 3: Factors and Multiples Relationship

Problem 7: Determine whether 9 is a factor of 36 and a multiple of 36. Solution: To check if 9 is a factor of 36, divide 36 by 9. If the result is a whole number, then 9 is a factor. In this case, 36 ÷ 9 = 4, which is a whole number. Therefore, 9 is a factor of 36.

To check if 9 is a multiple of 36, divide 36 by 9. If the result is a whole number, then 9 is a multiple. In this case, 36 ÷ 9 = 4, which is a whole number. Therefore, 9 is a multiple of 36.

Conclusion: Factors and multiples are important concepts in mathematics. Factors are numbers that divide evenly into another number, while multiples are numbers obtained by multiplying a given number by any whole number. Understanding these concepts helps in solving various mathematical problems and finding patterns in numbers.

You 14 Dec, 19:01:11

Make this simpler to understand

Teacherbot 14 Dec, 19:01:11

Title: Factors and Multiples Worksheet

Instructions: Read the explanations and solve the problems related to factors and multiples.

Part 1: Factors

Definition: Factors are numbers that divide evenly into another number without leaving a remainder.

Example: The factors of 12 are numbers that can be multiplied together to give 12. They are 1, 2, 3, 4, 6, and 12.

Problem 1: Find the factors of 24. Solution: The factors of 24 are numbers that can be multiplied together to give 24. They are 1, 2, 3, 4, 6, 8, 12, and 24.

Problem 2: Is 9 a factor of 45? Solution: To check if 9 is a factor of 45, divide 45 by 9. If the result is a whole number, then 9 is a factor. In this case, 45 ÷ 9 = 5, which is a whole number. Therefore, 9 is a factor of 45.

Problem 3: What are the factors of 17? Solution: The factors of 17 are numbers that can be multiplied together to give 17. Since 17 is a prime number, its only factors are 1 and 17.

Part 2: Multiples

Definition: Multiples are numbers that are obtained by multiplying a given number by any whole number.

Example: The multiples of 5 are numbers that can be obtained by multiplying 5 by any whole number. They are 5, 10, 15, 20, 25, and so on.

Problem 4: List the first five multiples of 8. Solution: The first five multiples of 8 are numbers that can be obtained by multiplying 8 by any whole number. They are 8, 16, 24, 32, and 40.

Problem 5: Is 12 a multiple of 6? Solution: To check if 12 is a multiple of 6, divide 12 by 6. If the result is a whole number, then 12 is a multiple. In this case, 12 ÷ 6 = 2, which is a whole number. Therefore, 12 is a multiple of 6.

Problem 6: Find the first three multiples of 13. Solution: The first three multiples of 13 are numbers that can be obtained by multiplying 13 by any whole number. They are 13, 26, and 39.

Part 3: Factors and Multiples Relationship

Problem 7: Is 9 a factor of 36? Is 9 a multiple of 36? Solution: To check if 9 is a factor of 36, divide 36 by 9. If the result is a whole number, then 9 is a factor. In this case, 36 ÷ 9 = 4, which is a whole number. Therefore, 9 is a factor of 36.

To check if 9 is a multiple of 36, divide 36 by 9. If the result is a whole number, then 9 is a multiple. In this case, 36 ÷ 9 = 4, which is a whole number. Therefore, 9 is a multiple of 36.

Conclusion: Factors and multiples are important concepts in math. Factors are numbers that divide evenly into another number, while multiples are numbers obtained by multiplying a given number by any whole number. Understanding these concepts helps in solving math problems and finding patterns in numbers.