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What is the divisibility of 7 and 8?

Updated: 4/28/2022
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7: If you double the last digit and subtract it from the rest of the number and the answer is: 0 or Divisible by 7 (Note: you can apply this rule to that answer again if you want)

Example: 1, 672 (Double 2 is 4, 67-4=63, and 63÷7=9) Yes2, 905 (Double 5 is 10, 90-10=80, and 80÷7=11 3/7) No

8: The last three digits are divisible by 8

Example: 1,109816 (816÷8=102) Yes 2,216302 (302÷8=37 3/4) No

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Q: What is the divisibility of 7 and 8?
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How does the divisibility rule for 4 and 8 work?

why does the divisibility rule work for 4


What is the divisibility rule for 4 7 8?

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What is the divisibility rule for 42?

The divisibility rule for 42 isdivisibility by 2, ANDdivisibility by 3, ANDdivisibility by 7.Divisibility by 2 requires the number to be even. That means it must end in 0, 2, 4, 6 or 8.Divisibility by 3 requires that the digital root of the number is divisible by 3. That is, the sum of the digits is divisible by 3. If the first sum is large, you can calculate the digital root of the digital root (and again, if necessary) and check that for divisibility by 3.The divisibility rule for 7 is more difficult.Take the last digit (units).From the number formed by the remaining digit, subtract twice the last digit.If the answer is divisible by 7 (including zero or negative numbers), then the original number is divisible by 7.For large numbers, repeat the process to bring the number down to a manageable size.


What are the divisibility rules for 1 through 50?

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What is the divisibility rule by 8?

The number formed by the last three digits have to be divisible by 8.


Why aren't 7 and 8 in the divisibility rules?

While it is possible to come up with divisibility rules for any number, some divisibility rules are more complicated than others, and in some cases it becomes easier to just carry out the division. A rule that works for 8 is: If the last three digits of a number are divisible by 8, then the entire number is divisible by 8. For 7: Separate a number's last three digits, and divide from the remaining number. If the result is divisible by 7, the original number is divisible by 7. For example, in 31969, separate as 31; 969. Subtracting the second part from the first will give you a negative number, but you can also subtract the other way: 969 - 31. Since the result is divisible by 7, the original number also is. This SAME rule also works for 11 and 13, and is based on the fact that 7, 11 and 13 are factors of 1001.


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The number must be divisible by 2 and by 7.


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Yes. 210 is evenly divisible by seven.