1. Prerequisite to chapter 5 Divisibility Rules: To determine the rules of divisibility

2. Divisible When one number can be divided by another and the result is an exact whole number. Example: 15 is divisible by 3, because 15 ÷ 3 = 5 exactly But 9 is not divisible by 2 because 9 ÷ 2 is 4 with 1 left over.

3. Divisibility Rules A method that can be used to determine whether a number is evenly divisible by other numbers. A method that can be used to determine whether a number is evenly divisible by other numbers. They are a shortcut for testing a number's factors without resorting to division calculations. They are a shortcut for testing a number's factors without resorting to division calculations.

4. Here are the Divisibility Rules! A number is divisible by… 2 if the ones digit is even 2 if the ones digit is even ex. 5421264234,567236,794 3 if the sum of the digits is divisible by 3 3 if the sum of the digits is divisible by 3 ex. 4471352404,408 4 if the number formed by the last two digits is divisible by 4 4 if the number formed by the last two digits is divisible by 4 ex. 2404,408234624

5. A number is divisible by… 5 if the ones digit ends in a 5 or 0 5 if the ones digit ends in a 5 or 0 ex. 453,490546235 6 if the number is divisible by BOTH 2 and 3 6 if the number is divisible by BOTH 2 and 3 ex. 7,02634988,9038,440 Here are the Divisibility Rules!

6. 9 if the sum of the digits is divisible by 9 9 if the sum of the digits is divisible by 9 ex. 1,2878,9012,98450,319 10 if the ones digit ends in 0 ex. 1,4505703,4565,490 Here are the Divisibility Rules!

7. Lets try a few! Is the first number divisible by the second number? 1. 447;3 Yes 2. 419;2 No 3. 7,026;6 Yes

8. A few more… 4. 1,287;9 yes 5. 1,260;10 yes 6. 4,480;4 yes 7. 8,930 no

9. Determine whether each number is divisible by 2,3,4,5,6,9, or 10. 7122,44622,3,650,3193,98,3402,3,4,5,6,10

10. You try these! 8,9013,91,0053,59202,4,5,103,4982,3,6

11. On your own Page 554 Numbers 1-23 odd

12. Chapter 5 FRACTIONS, DECIMALS AND PERCENTS

13. Lesson 1 Prime Factorization Objective: find the prime factorization of a composite number

14. Refresh your memories! Factor: Number to a multiplication problem 3 x 6 = 18 2 x 4 x 3 = 24 Product: the answer to a multiplication problem

15. Prime Number Whole number greater than 1 that has exactly two factors: 1 and itself. 2 (1 x 2) 3 (1 x 3) 5 (1 x 5)

16. Composite Number Whole number greater than 1 that has more than 2 factors. 4 (1x42 x 2) 6 (1x6 2x3) 12 (1x122x63x4)

17. Determine whether each number is prime or composite. 17 Prime (1 x 17) 12Composite (1x122 x 63 x 4) 11Prime (1 x 11)

18. 15Composite (1 x 15 3 x 15) 24Composite (1x24 2x123x84x6) Determine whether each number is prime or composite.

19. Every composite number can be written as a product of prime numbers in exactly one way.

20. Prime Factorization Expressing a composite number as a product of prime numbers.

21. Factor tree A diagram showing the prime factorization of a number. The factors branch out from the previous factors until all of the factors are prime numbers.

22. Here is a model! 96 96 6 16 6 16 2 32 8 2 4 2 4 2 2 2 x 3 5 96 12 8 3 44 22 2 2 x 3 5

23. Lets try more 1828

24. You try these! 1630

25. Here are two more! 2243

26. Do Now Find the prime factorization of… 46 And108

27. Factor each expression 10ac16x 2

28. You try these expressions! 52gh48a b 2 22

29. You try some on your own! Page 199 numbers 13-35 odd Homework Page 199 numbers 12-34 even Page 199 numbers 12-34 even Page 554 numbers 2-24 even Page 554 numbers 2-24 even You have a quiz on these 2 lessons Wednesday! You have a quiz on these 2 lessons Wednesday!