Test of Divisibility For One and Two Digits
Test of Divisibility By Two
A number is divisible by 2, if its last digit is even number or Zero
Example1
Is 350 divisible by 2 ?
Last digit of 350 is Zero. So this number is divisible by 2
Example2
Is 2562 divisible by 2 ?
Last digit of 2562 is even number. So this number is divisible by 2
Test of Divisibility By Three
A number is divisible by 3, if the sum of the digits in the number is divisible by 3.
Example1
Is 642 divisible by 3 ?
Sum of the digits of 642 is 6 + 4 + 2 = 12. Again 12 is divisible by 3.Hence this number is divisible by 3.
Example2
Is 8931 divisible by 3 ?
Sum of the digits of 8931 is 8 + 9 + 3 + 1 = 21. Again 21 is divisible by 3.Hence this number is divisible by 3.
Test of Divisibility By Four
if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4.
Example1
Is 872 divisible by 4 ?
Last 2 digits of 872 is 72, is 72 is divisible by 4. Hence 872 is divisible by 4.
Example2
Is 5348 divisible by 4 ?
Last 2 digits of 5348 is 48, is 48 is divisible by 4. Hence 5348 is divisible by 4.
Test of Divisibility By Five
A number is divisible by 5,if the last digit is either 5 or 0.
Example1
Is 985 divisible by 5 ?
Last digit of 985 is 5. Hence 985 is divisible by 5.
Example1
Is 1690 divisible by 5 ?
Last digit of 1690 is zero. Hence 1690 is divisible by 5.
Test of Divisibility By Six
A number is divisible by 6, if the number is divisible by 2 and 3.
Example1
Is 636 divisible by 6 ?
636 is divisible by 2 and also 636 is divisible by 3.Hence 636 is divisible by 6.
Example2
Is 2268 divisible by 6 ?
2268 is divisible by 2 and also 2268 is divisible by 3.Hence 2268 is divisible by 6.
Test of Divisibility By Seven
Pohlman-mass method
Example1
Number 234 divisible by 7 ?
Split the number as 23|4
Subtract twice unit digit from rest.
23 - 8 = 15
Repeat the process.
1|5
1 - 10 = -9.
This is not divisible by 7.
Hence 234 is not divisible by 7.
Example2
Number 4823 divisible by 7 ?
482|3
482 - 6 = 476
47|6
47 - 12 = 35
3|5
3 - 10 = -7
This is divisible by 7.
The number 4823 is divisible by 7.
Test of Divisibility By Eight
A number is divisible by 8, if the number formed by the last three digits is divisible by 8.
Example1
Is 2192 divisible by 8 ?
Last three digits of 2192 is 192. Since 192 is divisible by 8. Hence 2192 is divisble by 8.
Example2
Is 9128 divisible by 8 ?
Last three digits of 9128 is 128. Since 128 is divisible by 8. Hence 9128 is divisble by 8.
Test of Divisibility By Nine
A number is divisible by 9, if the sum of its digits is divisible by 9.
Example1
Is 6453 divisible by 9 ?
Sum of 6453 is 6 + 4 + 5 + 3 = 18. Since 18 is divisible by 9. Hence 6453 is divisible by 9.
Example2
Is 8640 divisible by 9 ?
Sum of 8640 is 8 + 6 + 4 + 0 = 18. Since 18 is divisible by 9. Hence 8640 is divisible by 9.
Test of Divisibility By Ten
A number is divisible by 10, if the last digit is zero.
Example1
Is 3960 divisible by 10 ?
Last digit of 3960 is zero.Hence 3960 is divisble by 10.
Example2
Is 6770 divisible by 10 ?
Last digit of 6770 is zero.Hence 6770 is divisble by 10.
Test of Divisibility By Eleven
A number is divisible by 11,
if the sum of digits in the odd places and sum of digits in even places are equal or differ by a multiple of 11.
Example1
Is 209 divisible by 11 ?
Sum the values that present in the odd places. 2 + 9 = 11. so 11 is divisible by 11.Hence 209 is divisible by 11.
Example2
Is 3564 divisible by 11 ?
Find sum of digits in even places are equal.
Odd place value: 3564 = 3 + 6 = 9 and Even place value: 5 + 4 = 9 .
Here sum of digits in odd and even places are equal.Hence 3564 is divisible by 11.
Test of Divisibility By Twelve
A number is divisible by 3 and by 4.
Example1
Is 324 divisible by 12 ?
324 is divisible by 3 and 4.Hence 324 is divisible by 12.
Test of Divisibility By Thirteen
Add 4 times the last digit to the rest.
Example1
Is 637 divisible by 13 ?
637: 63 + 7 x 4 = 91, 9 + 1 x 4 = 13.Hence 637 is divisible by 13.
Test of Divisibility By Fourteen
A number is divisible by 2 and by 7.
Example1
Is 224 divisible by 14 ?
224: it is divisible by 2 and by 7.Hence 224 is divisible by 14.
Test of Divisibility By Fifteen
A number is divisible by 3 and by 5.
Example1
Is 390 divisible by 15 ?
390: it is divisible by 3 and by 5.Hence 390 is divisible by 15.
Test of Divisibility By Sixteen
Add the last two digits to four times the rest.
Example1
Is 176 divisible by 16 ?
176: 1 x 4 + 76 = 80. Hence 176 is divisible by 16.
Test of Divisibility By Seventeen
Subtract 5 times the last digit from the rest.
Example1
Is 221 divisible by 17 ?
221: 22 - 1 x 5 = 17. Hence 221 is divisible by 17.
Test of Divisibility By Eighteen
A number is divisible by 2 and by 9.
Example1
Is 342 divisible by 18 ?
342: it is divisible by 2 and by 9. Hence 342 is divisible by 18.
Test of Divisibility By Nineteen
Add twice the last digit to the rest.
Example1
Is 437 divisible by 19 ?
437: 43 + 7 x 2 = 57. Hence 437 is divisible by 19.
Test of Divisibility By Twenty
If the number formed by the last two digits is divisible by 20..
Example1
Is 480 divisible by 20 ?
480: 80 is divisible by 20. Hence 480 is divisible by 20.
Test Of Divisibility Calculator
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Test of Divisibility By Two
A number is divisible by 2, if its last digit is even number or Zero
Example1
Is 350 divisible by 2 ?
Last digit of 350 is Zero. So this number is divisible by 2
Example2
Is 2562 divisible by 2 ?
Last digit of 2562 is even number. So this number is divisible by 2
Test of Divisibility By Three
A number is divisible by 3, if the sum of the digits in the number is divisible by 3.
Example1
Is 642 divisible by 3 ?
Sum of the digits of 642 is 6 + 4 + 2 = 12. Again 12 is divisible by 3.Hence this number is divisible by 3.
Example2
Is 8931 divisible by 3 ?
Sum of the digits of 8931 is 8 + 9 + 3 + 1 = 21. Again 21 is divisible by 3.Hence this number is divisible by 3.
Test of Divisibility By Four
if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4.
Example1
Is 872 divisible by 4 ?
Last 2 digits of 872 is 72, is 72 is divisible by 4. Hence 872 is divisible by 4.
Example2
Is 5348 divisible by 4 ?
Last 2 digits of 5348 is 48, is 48 is divisible by 4. Hence 5348 is divisible by 4.
Test of Divisibility By Five
A number is divisible by 5,if the last digit is either 5 or 0.
Example1
Is 985 divisible by 5 ?
Last digit of 985 is 5. Hence 985 is divisible by 5.
Example1
Is 1690 divisible by 5 ?
Last digit of 1690 is zero. Hence 1690 is divisible by 5.
Test of Divisibility By Six
A number is divisible by 6, if the number is divisible by 2 and 3.
Example1
Is 636 divisible by 6 ?
636 is divisible by 2 and also 636 is divisible by 3.Hence 636 is divisible by 6.
Example2
Is 2268 divisible by 6 ?
2268 is divisible by 2 and also 2268 is divisible by 3.Hence 2268 is divisible by 6.
Test of Divisibility By Seven
Pohlman-mass method
Example1
Number 234 divisible by 7 ?
Split the number as 23|4
Subtract twice unit digit from rest.
23 - 8 = 15
Repeat the process.
1|5
1 - 10 = -9.
This is not divisible by 7.
Hence 234 is not divisible by 7.
Example2
Number 4823 divisible by 7 ?
482|3
482 - 6 = 476
47|6
47 - 12 = 35
3|5
3 - 10 = -7
This is divisible by 7.
The number 4823 is divisible by 7.
Test of Divisibility By Eight
A number is divisible by 8, if the number formed by the last three digits is divisible by 8.
Example1
Is 2192 divisible by 8 ?
Last three digits of 2192 is 192. Since 192 is divisible by 8. Hence 2192 is divisble by 8.
Example2
Is 9128 divisible by 8 ?
Last three digits of 9128 is 128. Since 128 is divisible by 8. Hence 9128 is divisble by 8.
Test of Divisibility By Nine
A number is divisible by 9, if the sum of its digits is divisible by 9.
Example1
Is 6453 divisible by 9 ?
Sum of 6453 is 6 + 4 + 5 + 3 = 18. Since 18 is divisible by 9. Hence 6453 is divisible by 9.
Example2
Is 8640 divisible by 9 ?
Sum of 8640 is 8 + 6 + 4 + 0 = 18. Since 18 is divisible by 9. Hence 8640 is divisible by 9.
Test of Divisibility By Ten
A number is divisible by 10, if the last digit is zero.
Example1
Is 3960 divisible by 10 ?
Last digit of 3960 is zero.Hence 3960 is divisble by 10.
Example2
Is 6770 divisible by 10 ?
Last digit of 6770 is zero.Hence 6770 is divisble by 10.
Test of Divisibility By Eleven
A number is divisible by 11,
if the sum of digits in the odd places and sum of digits in even places are equal or differ by a multiple of 11.
Example1
Is 209 divisible by 11 ?
Sum the values that present in the odd places. 2 + 9 = 11. so 11 is divisible by 11.Hence 209 is divisible by 11.
Example2
Is 3564 divisible by 11 ?
Find sum of digits in even places are equal.
Odd place value: 3564 = 3 + 6 = 9 and Even place value: 5 + 4 = 9 .
Here sum of digits in odd and even places are equal.Hence 3564 is divisible by 11.
Test of Divisibility By Twelve
A number is divisible by 3 and by 4.
Example1
Is 324 divisible by 12 ?
324 is divisible by 3 and 4.Hence 324 is divisible by 12.
Test of Divisibility By Thirteen
Add 4 times the last digit to the rest.
Example1
Is 637 divisible by 13 ?
637: 63 + 7 x 4 = 91, 9 + 1 x 4 = 13.Hence 637 is divisible by 13.
Test of Divisibility By Fourteen
A number is divisible by 2 and by 7.
Example1
Is 224 divisible by 14 ?
224: it is divisible by 2 and by 7.Hence 224 is divisible by 14.
Test of Divisibility By Fifteen
A number is divisible by 3 and by 5.
Example1
Is 390 divisible by 15 ?
390: it is divisible by 3 and by 5.Hence 390 is divisible by 15.
Test of Divisibility By Sixteen
Add the last two digits to four times the rest.
Example1
Is 176 divisible by 16 ?
176: 1 x 4 + 76 = 80. Hence 176 is divisible by 16.
Test of Divisibility By Seventeen
Subtract 5 times the last digit from the rest.
Example1
Is 221 divisible by 17 ?
221: 22 - 1 x 5 = 17. Hence 221 is divisible by 17.
Test of Divisibility By Eighteen
A number is divisible by 2 and by 9.
Example1
Is 342 divisible by 18 ?
342: it is divisible by 2 and by 9. Hence 342 is divisible by 18.
Test of Divisibility By Nineteen
Add twice the last digit to the rest.
Example1
Is 437 divisible by 19 ?
437: 43 + 7 x 2 = 57. Hence 437 is divisible by 19.
Test of Divisibility By Twenty
If the number formed by the last two digits is divisible by 20..
Example1
Is 480 divisible by 20 ?
480: 80 is divisible by 20. Hence 480 is divisible by 20.
Test Of Divisibility Calculator
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