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Since 6 is a multiple of 2 and 3, the rules for divisibility by 6 are a combination of the rule for 2 and the rule for 3. In other words, a number passes this divisibility test only if it passes the testfor 2 and the for 3. Rule: A number is divisible by 6 if it is even and if the sum of its digits is divisible by 3.
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The even numbers are all numbers that are multiples of 2. An...
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According to the divisibility rule of 3, any big number is exactly divisible by 3 if the sum of the digits is a multiple of 3. For example, the number 2,146,497 is exactly divisible by 3, where quotient = 715,499 and remainder = 0. The sum of all digits is 2 + 1 + 4 + 6 + 4 + 9 + 7 = 33 and 33 is exactly divisible by 3.
- Divisibility Test of 2
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- Divisibility Test of 8
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A number is divisible by 2 if and only if its last digit is even, i.e., divisible by 2. In other words, the last digit must be equal to 0, 2, 4, 6, or 8.
A number is divisible by 4 if and only if its last two digitsform a number divisible by 4, i.e., they are equal to any of the following numbers: 00, 04, 08, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, or 96.
A number is divisible by 8 if and only if its last three digitsform a number divisible by 8. As you can see, already for 8 this rules is not very practical — deciding on the fly if a given three-digit number is divisible by 8 may be hard. Fortunately, there's another divisibility rule for 8, which involves examining separately the hundreds digit an...
If its hundreds (third-last) digit is even, a number is divisible by 8 if and only if the number formed by the last two digitsis divisible by 8. If its hundreds digit is odd, a number is divisible by 8 if and only if the number formed by the last two digits plus 4is divisible by 8.
- Anna Szczepanek
Divisibility Rules for some Selected Integers. Divisibility by 1: Every number is divisible by \ (1\). Divisibility by 2: The number should have \ (0, \ 2, \ 4, \ 6,\) or \ (8\) as the units digit. Divisibility by 3: The sum of digits of the number must be divisible by \ (3\). Divisibility by 4: The number formed by the tens and units digit of ...
- A number is divisible by 2 if its last digit is an even number or the last digit is 0,2,4,6,or 8. For instance, 8596742 is divisible by 2 because the last digit is 2.
- A number is divisible by 3 if the sum of its digits is divisible by 3. For instance, 3141 is divisible by 3 because the sum of the digits is divisible by 3.
- A number is divisible by 4 if the number represented by its last two digits is divisible by 4. For instance, 8920 is divisible by 4 because 20 is divisible by 4.
- A number is divisible by 5 if its last digit is 0 or 5. For instance, 9564655 is divisible by 5 because the last digit is 5.
Or use the "3" rule: 7+2+3=12, and 12 ÷ 3 = 4 exactly Yes. Note: Zero is divisible by any number (except by itself), so gets a "yes" to all these tests. Any integer (not a fraction) is divisible by 1. The last digit is even (0,2,4,6,8) The sum of the digits is divisible by 3. This rule can be repeated when needed:
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Divisibility Rules of 3. A number is completely divisible by 3 if the sum of its digits is divisible by 3. You can also repeat this rule until you get a single-digit sum. Example 1: Check whether 93 is divisible by 3 or not. Sum of the digits = 9 + 3 = 12. If the sum is a multiple of 3, then the original number is also divisible by 3. Here, as ...
