1. Divisibility Rules

2. Skip Counting 1)Skip count by 3 from 3. 2)Skip count by 5 from 65. 3)Skip count by 10 from 1230. 4)Skip count by 6 from 138.

3. Double and Halve 1)8 x 45 2)4 x 150 3)1.5 x 12

4. Repeated Doubling 1)Double 2. Double the next number. Repeat. 2)Double 3. Double the next number. Repeat.

5. 1)Find a number with 5 factors. 2)Draw a factor tree for each of the following: a) 10b) 17c) 27

6. Divisibility A number is divisible by another number if the answer is a whole number. dividend ÷ divisor = quotient A number is divisible if the quotient is a whole number.

7. Which of the following are divisible by 2? By 5? By 10? 78 27 35 410 123 2100 4126 795

8. A number is divisible by: 2 if the number is even (ends in 0, 2, 4, 6, or 8) 3 4 5if the ones digit is 0 or 5 6 8 9 10if the ones digit is 0

9. Multiples of 3 Write the first 10 multiples of 3. 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 Notice anything?

10. 1)Shade all of the multiples of 3 in yellow. 2)Choose a two-digit multiple of 3. Add the digits. Is the result divisible by 3? 3)Repeat with another two-digit multiple of three. 4)Write a divisibility rule for 3.

11. 1) Shade all of the multiples of 2 in blue. 2) Which numbers are multiples of both 2 and 3? 3) Can you describe the pattern of the green squares? 4) What other number (not 1) can these numbers be divided by? 5) Write a divisibility rule for 6.

12. Multiples of 9 Write the first 10 multiples of 9. 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 Notice anything?

13. 783 5886 6579 99 999

14. A number is divisible by: 2 if the number is even (ends in 0, 2, 4, 6, or 8) 3if the sum of the digits is divisible by 3 4 5if the ones digit is 0 or 5 6if it is divisible by 2 and 3 8 9if the sum of the digits is divisible by 9 10if the ones digit is 0

15. Which of the following numbers are divisible by 3? 63017019601412 3246313524128 312 88570381365382

16. Which of the following numbers are divisible by 6? 8767898888433 9243848564914 25 623725422546273

17. Which of the following numbers are divisible by 9? 2702163004572 2613108836170 245 20155409523047 390

18. Use a 300-399 hundreds chart 1)Circle all the numbers that are divisible by 2. 2)Use a different colour. Circle all the numbers that are divisible by 4. 3)What do you notice?

19. 4) Use a different colour. Circle all the numbers that are divisible by 8. 5) What patterns do you see?

20. If a number is divisible by 8, what else can we say about it? If a number is divisible by 4, what else can we say about it?

21. A number is divisible by 4 if the number formed by the digits in the tens and ones place is divisible by 4. We can also say that numbers that can be divided by 4 can be divided by 2 twice. Examples: 44, 72, 88

22. A number is divisible by 8 if the number formed by the digits in the hundreds, tens, and ones place is divisible by 8. In other words, a number is divisible by 8 if it is divisible by 2 three times. Examples: 520, 272,7896

23. A number is divisible by: 2 if the number is even (ends in 0, 2, 4, 6, or 8) 3if the sum of the digits is divisible by 3 4if the last two digits are divisible by 4 5if the ones digit is 0 or 5 6if it is divisible by 2 and 3 8if the last three digits are divisible by 8 9if the sum of the digits is divisible by 9 10if the ones digit is 0

24. Which of the following numbers are divisible by 4? 32463071683354 842487426082 35 63648026161 003 004

25. Which of the following numbers are divisible by 8? 32463071683464 6542487426280 35 63648026161 003 056