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How do we know when we can divide one number into another exactly?

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Presentation on theme: "How do we know when we can divide one number into another exactly?"— Presentation transcript:

1 How do we know when we can divide one number into another exactly?
Divisibility Rules How do we know when we can divide one number into another exactly? Jenny Russell

2 Remember Even numbers all numbers that ends with any of the following numbers: 0, 2, 4, 6, 8. Odd Numbers: all the numbers which are not even. Example: Which of the following is even? 14,100,27,2863,75318,and 2. Solution: The even numbers are 14, 100,275318, and 2.why?

3 Divisibility Rules (2) A number can be divided by 2 if
the last digit is even or zero Example: Which of the following is divisible by 2?Justify your answer. 290,2345,2346,89,789,48 Solution: 290 yes it ends with 0. 2345 no since 9 is not even. 2346 yes since 6 is even 789 no since 9 is not even. 48 yes since 8 is even.

4 Divisibility Rules (3) a number is divisible by 3 if
the sum of the digits is divisible by 3 Example: Which of the following is divisible by 3?Justify your answer.290,2745,2346. 290: 2+9+0=11, but 11 not divisible by 3 so 290 is not divisible by 3. 2745: = 18, and 18 is divisible by 3 so 2745 is divisible by 3. 2346: = 15, and 15 is divisible by 3 so 2346 is divisible by 3.

5 Divisibility Rules (4) A number is divisible by 4 if
If the sum of the last two digits can be divided by 4 List some numbers that are divisible by 4? 0,4,8,12,16,20,24,48. 104,108,112,116 234504, ,171736

6 Divisibility Rules (5) A number is divisible by 5 if
the last digit is a 5 or a 0 Easy !!

7 Divisibility Rules (6) A number can be divided by 6 if
If the number is even and the sum of all the digits can be divided by 3. Example: is 234 divisible by 6? Solution: 234 is even since ends with 4 which is even. 2+3+4=9 which is divisible by 3 so 234 is divisible by 3. Since even + divisible by 3 so divisible by 6

8 Divisibility Rules (10) A number can be divided by 10 if
the last digit is a 0 The easiest 

9 Divisibility Rules 2, the last digit is even or zero
3, the sum of the digits can be divided by 3 4, the sum of the last two digits can be divided by 4 5, the last digit will be a 5 or 0

10 Divisibility Rules 6, the number is even and the sum of the digits can be divided by 3.

11 Divisibility Rules 10, the last digit will be a 0 Good Luck


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