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Understanding Factors and Divisibility through Interactive Exercises

Dive into the world of factors and divisibility with this engaging Brain Tickler! Learn which numbers are factors of 36 (1, 2, 3, 4, 6) and grasp multiplication facts (like 1x36, 2x18). Explore why some numbers are factors based on multiplication principles. This resource connects arrays to factors, revealing that even numbers are divisible by 2. Challenge yourself with interactive exercises like Factor Captor to enhance your understanding of finding factors and the concept of divisibility. Perfect for students looking to strengthen their math skills!

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Understanding Factors and Divisibility through Interactive Exercises

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  1. More about FACTORS DIVISIBILITY

  2. Brain Tickler • Which of the following numbers are factors of 36? 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10? • Write the multiplication facts you know for 36.

  3. Answers: • Which of the following numbers are factors of 36? 1, 2, 3, 4, 5, 6, 7, 8,9, and 10? • Write the multiplication facts you know for 36. 1x36; 2x18; 3x12; 4x9; 6x6

  4. Determining Factors How do we know 4 is a factor of 36?

  5. Determining Factors How do we know 4 is a factor of 36? Because 4 * 9 = 36 Therefore, 4 and 9 are FACTORS of 36.

  6. Determining Factors How do we know 5 is NOT A FACTOR Of 36?

  7. Determining Factors How do we know 5 is NOT A FACTOR of 36? 5 x = 36 There is NO whole number times 5 that equals 36.

  8. Connecting Arrays and Factors If a number can be represented by a rectangular array with 2 rows, what true statements can we make about the number?

  9. Connecting Arrays and Factors If a number can be represented by a rectangular array with 2 rows, what true statements can we make about the number? • 2 is a factor • The number is an EVEN NUMBER • The number is DIVISIBLE by 2

  10. Connecting Arrays and Factors If a number can be represented by a rectangular array with 2 columns, what true statements can we make about the number?

  11. Connecting Arrays and Factors If a number can be represented by a rectangular array with 2 columns, what true statements can we make about the number? • 2 is a factor • The number is an EVEN NUMBER • The number is DIVISIBLE by 2

  12. Connecting Arrays and Factors Suppose a number cannot be represented by an array with 2 rows or 2 columns? For instance, why can’t 3 be represented by an array with 2 rows?

  13. Connecting Arrays and Factors Suppose a number cannot be represented by an array with 2 rows or 2 columns? For instance, why can’t 3 be represented by an array with 2 rows? • 3 is an ODD Number • 3 is notDivisible by 2 • 2 is not a factor of 3

  14. ARRAYS model MULTIPLICATION 4 x 3 = 12

  15. Does multiplication have a relationship to division? 4 x 3 = 12

  16. Is 54 divisible by 9?

  17. 54 pennies ÷ 9 rows = 6 pennies per row

  18. Is 25 divisible by 6?

  19. 25 pennies÷ 6 rows = 4 pennies per row + 1 remaining penny

  20. Because of the remainder, 6 is NOT a FACTOR of 25.

  21. Is 8 a factor of 48?

  22. YES, 8 is a FACTOR 48 pennies ÷ 8 rows = 6 pennies per row

  23. Is 4 a factor of 30?

  24. No, 4 is NOT a Factor of 30

  25. MAIN IDEA: A number is DIVISIBLE BY another number if the result of the division is: • A whole number • With A remainder of ZERO ----------------------------------------- Example: 28 is divisible by 7 28 ÷ 7 = 4 r 0 Therefore, 7 is a FACTOR of 28

  26. FACTOR CAPTOR • Practice your skill in finding factors by playing FACTOR CAPTOR: http://illuminations.nctm.org/ActivityDetail.aspx?ID=12 You may change “opponent” and “game type”.

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