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Divisibility Test Color

The document outlines various divisibility tests for numbers, including rules for 2, 3, 4, 5, 6, 8, 9, and 10. Each rule is explained with examples demonstrating how to determine if a number is divisible by the specified integer. It also mentions the use of short division for certain tests and provides a link for a tutorial on short division.

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13 views1 page

Divisibility Test Color

The document outlines various divisibility tests for numbers, including rules for 2, 3, 4, 5, 6, 8, 9, and 10. Each rule is explained with examples demonstrating how to determine if a number is divisible by the specified integer. It also mentions the use of short division for certain tests and provides a link for a tutorial on short division.

Uploaded by

charlottecpost
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Divisibility Tests

2 Look at the last digit of the original number. If that digit is even, then the original number
is divisible by 2.

3 Add up all the digits in the original number. If the sum is


divisible by 3, then the original number is divisible by 3.
Original number = 297
2+9+7=18 and 18 is divisible by 3.

*Since 4 goes into 20, 40, 60, and 80 evenly, determine how *Original number = 72
much greater than 20, 40, 60, or 80 the original number is. If 72 is 12 more than 60, and 12

4
is divisible by 4.
that new number is divisible by 4, then the original number is
**Original number = 1,984
divisible by 4. **For numbers greater than two digits, if the last 84 is divisible by 4, therefore
two digits are divisible by 4, the original number is divisible by 4. 1,984 is divisible by 4.

5 If the last digit of the original number is 0 or 5, then the original number is divisible by 5.

6 If the original number is divisible by both 2 and 3, then it is also divisible by 6.

7 There's not an easy shortcut for this one. Just use short division to check divisibility.

*Look at the last three digits of the original number. If that *Original number = 123,336
number is divisible by 8 (use short division to check), then the 336 is divisible by 8, therfore
123,336 is divisible by 8.
original number is divisible by 8. **If the number in the
8 hundreds place of the original number is even, you only have
to look at the last two digits. If that number is divisible by 8,
**Original number = 123,448
48 is divisible by 8, therefore
123,448 is divisible by 8.
then the original number is divisible by 8.

Original number = 1,935

9 Add up all the digits in the original number. If the sum is


divisible by 9, then the original number is divisible by 9.
1+9+3+5=18, and 18 is divisible
by 9, so 1,935 is divisible by 9.

10 If the last digit of the original number is 0, then the original number is divisible by 10.

NOTE: A simple tutorial on short division can be found at http://bit.ly/shortdivision

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