What number is divisible by 871?
The Divisibility rules for natural numbers show quickly whether and how a natural number can be divided.
The number is ...
|divisible by||Divisibility rule|
|2||if its last digit is a 0 or an even number.|
|3||if the checksum is divisible by 3,|
|4||if its last two digits result in a number that is divisible by 4.|
|5||if its last digit is a 0 or 5,|
|6||if the number is divisible by 2 and by 3|
|8||if the number formed from the last three digits is divisible by 8.|
|9||if your checksum is divisible by 9|
|10, 100, 1000…||if your last digit is 0, 00, 000….|
|12||if the number is divisible by 3 and by 4.|
|15||if the number is divisible by 3 and by 5.|
|25||if the number from the last two digits is divisible by 25.|
|30||if the last digit is a zero and is divisible by 3 without this last digit.|
|40||if the last digit is a zero and is divisible by 4 without this last digit.|
|50||if the last digit is a zero and without this is divisible by 5.|
|125||if the number from the last three digits is divisible by 125.|
Divisible by 7
We divide the number into two parts: b is the last digit, a are the digits in front of it.
8715 → 871 (a) and 5 (b)
We subtract b from a two times:
871 – 10 = 861
We repeat this process until we get a number that we can figure out in our head whether it is divisible by 7.
86 – 2 = 84
Since 84 is divisible by 7, it's 8715 too.
Divisible by 11
A number is divisible by 11 if the alternating checksum is divisible by 11.
|45||The 5 indicates that the number is divisible by 5. Since the checksum is 9, 3 is also a factor. So 45 is also divisible by 15.|
|115||The number is divisible by 5 but not by 15.|
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