Divisibility rules for 6
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Divisibility Rules for 6. The divisibility rule for 6 is as follows: If the number can be divided by BOTH 2 and 3 Ex. Determine whether the number 876 453 is divisible by 6 Solution: the last digit is not even, so the number is not divisible by 2. 8+7+6+4+5+3=33 3+3=6 6/2=3

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Presentation Transcript

  • The divisibility rule for 6 is as follows:

    • If the number can be divided by BOTH 2 and 3

    • Ex. Determine whether the number 876 453 is divisible by 6

      • Solution:

        • the last digit is not even, so the number is not divisible by 2.

        • 8+7+6+4+5+3=33

        • 3+3=6

        • 6/2=3

        • Since 3 is a factor of 33, the number is divisible by 3

        • Therefore, 6 is not a factor of 876 453 because 2 is not a factor


Example 1
Example #1

  • Determine whether the number 839 729 384 192 is divisible by 6.

  • Solution:

    • 8+3+9+7+2+9+3+8+4+1+9+2= 65

    • 6+5=11

    • Therefore, 6 is not a factor of 839 729 384 192 because 3 is not a factor


Example 2
Example#2

  • Determine whether the number 45 672 978 is divisible by 6

  • Solution:

    • 4+5+6+7+2+9+7+8=48

    • 4+8= 12

    • 12/3=4

    • Therefore, 6 is a factor of 45 672 978 because 2 and 3 are factors.


Your turn
Your Turn

  • Explain whether the number 186 is divisible by 6.

  • 1+8+6= 15

  • 1+5=6

  • 6/3=2

  • Yes it is.


Your turn1
Your Turn

  • Explain whether the number 283 945 is divisible by 6.

  • 2+8+3+9+4+5= 31

  • 3+1=4

  • 4/3

  • No


Practice
Practice

  • Page 13 #1

    • STOP and CHECK

  • Continue onto #3, 5, 6, 7, 8


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