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Divisibility Rules 01 Number Theory

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Presentation on theme: "Divisibility Rules 01 Number Theory"— Presentation transcript:

1 Divisibility Rules 01 Number Theory
Divisible by means: Goes into evenly Divides evenly into 10 ÷ 5 means make groups of 5. 10 is 2 groups of 5 1 2 3 4 5 6 7 8 9 10

2 18 ÷ 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 18 ÷ 6 = 3

3 Examples 10 10 5 2 5 ____ is divisible by ____ because ____ ÷ ____ = ____ ____ is NOT divisible by ____ because ____ ÷ ____ = ____ 12 5 12 5 2.4

4 A number is divisible by 2 if:
the number is ______. Even numbers end in __, __, __, __, or __. EVEN 2 4 6 8 Example: 34 is divisible by 2 because 34 ends with 4.

5 A # is divisible by 3 if: SUM means ADD
the ______ of the digits is __, __, or __ SUM 3 6 9 351 => = 9 351 ÷ 3 = 117 SUM means ADD

6 A # is divisible by 5 if: the number ends with __ or __
5 70 is divisible evenly by 5 because 70 ends with a 0. 70 ÷ 5 = 14

7 A # is divisible by 6 if: 2 x 3 = 6 the rules for __ and __ work.
______ RULES _____ WORK! Both must 2 x 3 = 6 24 is divisible evenly by 6 because 24 ends with a 4 which is even AND = 6 so 3 goes into 24 also. 24 ÷ 6 = 4

8 A # is divisible by 9 if: SUM means ADD the ______ of the digits is __
351 => = 9 351 ÷ 9 = 39 SUM means ADD

9 A # is divisible by 10 if: the number ends with __.
70 is divisible evenly by 10 because 70 ends with a 0. 70 ÷ 10 = 7

10 Yes No Yes Yes Yes No No No Yes Yes No No No No No No No Yes

11 2012 is even It ends with a 0, 2, 4, 6 or 8 = 12 1 + 2 = 3 3, 6 or 9 !!! 1452 is even so 2 works. = 12 1 + 2 = 3 so 3 works. Since 2 and 3 BOTH go into 1452 6 will go into 1452


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