Download Divisibility Rules

Divisibility Rules
1: All numbers are divisible by 1.
2: All even numbers are divisible by 2.
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2, 4, 6, 8, 10, 12, 14, 16, 18, 20…456….670
3: A number is divisible by 3 if the SUM of its digits is a multiple of 3.
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765 is divisible by 3 because 7+6+5=18.
18 is a multiple of 3: 3, 6, 9, 12, 15, 18…
4: A number is divisible by 4 if the tens and ones digits form a number that is a multiple of 4.
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47,836 is divisible by 4 because 36 is a multiple of 4.
36 is a multiple of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36…
5: A number is divisible by 5 if it ends in 5 or 0.
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5, 10, 15, 20, 25, 30… 230…335…
6: A number is divisible by 6 if it is divisible by both 2 and 3.
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2340 is divisible by 2 because it is an even number.
2340 is divisible by 3 because the SUM of all its digits is 9.
9 is a multiple of 3:
3, 6, 9…
Since 2340 is divisible by 2 and 3 it is divisible by 6.
7: A number is divisible by 7 if you double the last digit and subtract the sum from the rest of the
number, and get an answer that is a multiple of 7.
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In the number 497, double the 7 which is 14. Subtract 14 from what is left. 49-14=35.
35 is a multiple of 7:
7, 14, 21, 28, 35…
8: A number is divisible by 8 if the SUM of the last three digits forms a number that is a multiple
of 8.
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In the number 1,349, the SUM of the last three digits 3+4+9=16.
16 is a multiple of 8:
8, 16, 24…
9: A number is divisible by 9 if the SUM of its digits is a multiple of 9.
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279 is divisible by 9 because 2+7+9=18.
18 is a multiple of 9:
9, 18, 27…
10: A number is divisible by 10 if it ends in 0.
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10, 20, 30, 40, 50, 60…100…130…240….550…