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Divisibility Rules for 6

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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Divisibility Rules for 6

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  1. Divisibility Rules for 6

  2. 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

  3. 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

  4. 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.

  5. Your Turn • Explain whether the number 186 is divisible by 6. • 1+8+6= 15 • 1+5=6 • 6/3=2 • Yes it is.

  6. 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

  7. Practice • Page 13 #1 • STOP and CHECK • Continue onto #3, 5, 6, 7, 8

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