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Tests for Divisibility

Tricks for determining whether or not one number is divisible by another number

AB
2all even numbers
3the sum of the digit's numbers is a multiple of 3
4the last two digits are both zeros, or they form a 2-digit number evenly divisible by 4
5the number ends in either a 5 or a 0
6the number is evenly divisible by 2 and by 3 (use the rules for both)
7subtracting two times the units (ones) digit from the remaining digits results in a multiple of 7
8the last three digits are all zeros, or they form a 3-digit number evenly divisible by 8
9the sum of the number's digits is evenly divisible by 9
10the number ends in zero
11all the digits in the number are the same, or the number has only 3 digits and the sum of the "outside" digits is the same as the value of the middle digit, or the difference between their sum and the middle digit is 11
12the number is evenly divisible by 3 and by 4 (use the rules for both)
13subtracting nine times the units (ones) digit from the remaining digits results in a multiple of 13
15the number is evenly divisible by 3 and by 5 (use the rules for both)
20the units digit is 0 and the tens digit is even
22the number is even and it is evenly divisible by 11
24the number is evenly divisible by 3 and by 8 (use the rules for both)
25the last 2 digits are 00, 25, 50, or 75
30the number ends in 0 and is evenly divisible by 3
33the number is evenly divisible by 3 and by 11 (use the rules for both)
36the number is evenly divisible by 4 and by 9 (use the rules for both)


Mrs. J. Uptmor

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