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More about FACTORS. DIVISIBILITY . 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. Answers:. Which of the following numbers are factors of 36?

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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. Is 54 divisible by 9?

16. 54 pennies ÷ 9 rows = 6 pennies per row

17. Is 25 divisible by 6?

18. 25 pennies÷ 6 rows = 4 pennies per row + 1 remaining penny

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

20. Is 8 a factor of 48?

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

22. Is 4 a factor of 30?

23. No, 4 is NOT a Factor of 30

24. 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

25. 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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