Divisibility of Any Number By 7, 13, 17, 19, 23, 29 With Examples

Divisibility of Any Number By 7, 13, 17, 19, 23, 29 With Examples

Dear Aspirants,

We are presenting you the trick to solve the divisibility of any number by 7,13,17,19,23,29. How will we know this number is fully divisible by one of this number of not. Lets go straight to trick to solve divisibility.

Trick 1 : Divisible by 7 With Example

Multiply unit digit of any number by “5” and Add In remaining part of a number.

For Example

Is this number 3983 divisible by 7?

Step 1 : Multiply Unit digit of a given number by 5. (3 × 5 = 15)

Step 2 : Add Remaining part to multiplied resultant. (398 + 15 = 413)

Step 3 : Multiplied Unit digit of an addition resultant by 5. (3 × 5 = 15)

Step 4 : Add Second Multiplied Resultant to other remaining part of addition resultant. (41+15=56)

Step 6 : 56 is divisible by 7. So this number is divisible by 7.

Try yourself for numbers 6237 , 13265.

Numbers Divisible By 7

Trick 2 : Divisible by 13 With Example

Multiply unit digit of any number by “4” and Add In remaining part of a number.

For Example

Is this number 14131 divisible by 13?

Step 1 : Multiply Unit digit of a given number by 4. (1 × 4 = 4)

Step 2 : Add Remaining part to multiplied resultant. (1413 + 4 = 1417)

Step 3 : Multiplied Unit digit of an addition resultant by 4. (7 × 4 = 28)

Step 4 : Add Second Multiplied Resultant to other remaining part of addition resultant. (141+28=169)

Step 6 : 169 is divisible by 13. So this number is divisible by 13.

Try yourself for numbers 15405 , 771643.

Divisible by 13

Trick 3 : Divisible by 17 With Example

Multiply unit digit of any number by “12” and Add In remaining part of a number.

For Example

Is this number 9656 divisible by 17?

Step 1 : Multiply Unit digit of a given number by 12. (6 × 12 = 72)

Step 2 : Add Remaining part to multiplied resultant. (965 + 72 = 1037)

Step 3 : Multiplied Unit digit of an addition resultant by 12. (7 × 12 = 84)

Step 4 : Add Second Multiplied Resultant to other remaining part of addition resultant. (103+84=187)

Step 6 : 187 is divisible by 17. So this number is divisible by 17.

Try yourself for numbers 18479.

Numbers Divisible By 17

Trick 4 : Divisible by 19 With Example

Multiply unit digit of any number by “2” and Add In remaining part of a number.

For Example

Is this number 14326 divisible by 19?

Step 1 : Multiply Unit digit of a given number by 2. (6 × 2 = 12)

Step 2 : Add Remaining part to multiplied resultant. (1432 + 12 = 1444)

Step 3 : Multiplied Unit digit of an addition resultant by 2. (4 × 2 = 8)

Step 4 : Add Second Multiplied Resultant to other remaining part of addition resultant. (144+8=152)

Step 5 :Multiplied Unit digit of an addition resultant by 2. (2 × 2 = 4)

Step 6 : Add Third Multiplied Resultant to other remaining part of addition resultant. (15+4=19)

Step 6 : 19 is divisible by 19. So this number is divisible by 19.

Try yourself for numbers 109763.

Numbers Divisible by 19

Trick 5 : Divisible by 23 With Example

Multiply unit digit of any number by “7” and Add In remaining part of a number.

For Example

Is this number 33971 divisible by 23?

Step 1 : Multiply Unit digit of a given number by 7. (7 × 1 = 7)

Step 2 : Add Remaining part to multiplied resultant. (3397 + 7 = 3404)

Step 3 : Multiplied Unit digit of an addition resultant by 7. (4 × 7 = 28)

Step 4 : Add Second Multiplied Resultant to other remaining part of addition resultant. (340+28=368)

Step 5 :Multiplied Unit digit of an addition resultant by 7. (8 × 7 = 56)

Step 6 : Add Third Multiplied Resultant to other remaining part of addition resultant. (36+56=92)

Step 6 : 92 is divisible by 23. So this number is divisible by 23.

Numbers Divisible By 23

Trick 6 : Divisible by 29 With Example

Multiply unit digit of any number by “3” and Add In remaining part of a number.

For Example

Is this number 24795 divisible by 29?

Step 1 : Multiply Unit digit of a given number by 5. (5 × 3 = 15)

Step 2 : Add Remaining part to multiplied resultant. (2479 + 15 = 2494)

Step 3 : Multiplied Unit digit of an addition resultant by 3. (4 × 3 = 12)

Step 4 : Add Second Multiplied Resultant to other remaining part of addition resultant. (249+12=261)

Step 5 :Multiplied Unit digit of an addition resultant by 3. (1 × 3 = 3)

Step 6 : Add Third Multiplied Resultant to other remaining part of addition resultant. (26+3=29)

Step 6 : 29 is divisible by 29. So this number is divisible by 29.

Try yourself for 25433.

Numbers Divisible By 29


Thanks you and All the best!

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