32456 is a even number. To know the numbers by which 32456 is divisible we apply all divisibility rules from 1 to 13.

32456 is divisible by 1,2,4,8 among the numbers from 1 to 13. How ?  Below Image is showing the factors of 32456 . 32456 is divisible by 1,2,4,8,4057,8114,16228.

 

 

Divisible By 1:-32456is divisible by 1.because any integer is divisible by 1.

Divisible By 2:– 32456 is divisible by 2.Last/unit digit is 6(even) which is divisible by 2.

Divisible By 3:-Sum of all digits=3+2+4+5+6=20 which is not divisible by 3. So 32456 is not divisible by 3.

Divisible By 4:- A number is divisible by 4 if the number formed by the last two digits is divisible by 4.Here last two digits 5 and 6.Number formed=56.which is divisible by 4.

Divisible By 5:- If the unit’s digit of a number is either 0 or 5, then the number is divisible by 5 .Here unit digit is 6.So 32456 is not divisible by 5.

Divisible By 6:- A number is divisible by 6 if 

(i) It is an even number and 

(ii) It is divisible by 3.

32456 is an even number but not divisible by 3(applying divisibility rule of 3).

So 32456 is not divisible by 6.

Divisible By 7:– Double the last/unit digit and subtract it from the rest of the number and if the result is 0 or divisible by 7 then number is divisible by 7.

·       Unit digit is 6.double of 6=2*6=12.

·       Remaining number 3245-12=3233.

·       Again take the same process for till the number remains two digit.

·       Consider 3233.last/unit digit is 3.

·       Double of 3=6

·       Subtract it from remaining number=323-6=317.

·       Again Consider 317.unit digit is 7.

·       Double of 7=7*2=14.

·       Subtract it from remaining number=31-14=17.which is not divisible by 7.

 

Divisible By 8:- A given number is divisible by 8, if the number formed by the last 3 digits of the given number are either 000 or divisible by 8.

·       Last three digits are 4,5 and 6.

·       Number formed 456.

·       456 is divisible by 8.457/8=57.

So the number 32456 is divisible by 8.

Divisible By 9:– A number is divisible by 9, if the sum of the digits of the number is divisible by 9.

·       Sum of the digits=3+2+4+5+6=20.

·       20 is not divisible 9.

So the number 32456 is not divisible by 9.

Divisible By 10:- A number is divisible by 10 if the unit digit of the number is 0.

·       Unit digit is 6 not 0.

So the number 32456 is not divisible 10.

Divisible By 11:- A given number is divisible by 11 if the difference between the sum of the digits at odd places and the sum of the digits at the even places is either 0 or a number divisible by 11.

·       Digits at odd places 3, 4 and 6.digits at even places 2 and 5.

·       Sum of digits at odd places=3+4+6=13.

Sum of digits at even places=2+5=7.

·       Difference=13-7=6.which is not divisible by 11.

So the given number  32456 is not divisible by 11.

Divisible By 12:- A number is divisible by 12 if given number is divisible by both 3 and 4.

·       From above we know the given number is not divisible by 3.because sum of digits=3+2+4+5+6=20 not divisible by 3.

·       Given number is divisible by 4. Last two digit 5 and 6.Number formed=56.which is divisible 4.

But according to rule of 12 the number must divisible by 3 and 4.

Here 32456 is divisible by 4 but not by 3.

So the number is not divisible by 12.

Divisible By 13:- Calculate the four times of the unit digit of the number and add it to the remaining leading number. If result is divisible by 13 then the given number is divisible by 13.

·       Unit digit of the given number is=6.

·       Four times of the number=6*4=24.

·       Add it to the remaining number (3245) = 3245+24=3269.

·       Take one more step. And consider 3269.

·       Unit digit is 9.four times of 9=9*4=36.

·       Add it to the remaining number 326+36=362.which is not divisible by 13.

·       Or we can take one more step for easy calculation.

·       Take 362.unit digit is 2.

·       Four times of 2=2*4=8.

·       Add 36+8=44.which is not divisible by 44.

So the number is not divisible by 13.

 32456 is divisible by 1,2,4,8