Get Whole number

Written on 11:59 pm by Vja Students

Given any whole number take the sum of the digits, and the product of the digits, and multiply these together to get a new whole number. For example, starting with 6712, the sum of the digits is (6+7+1+2) = 16, and the product of the digits is (6*7*1*2) = 84. The answer in this case is then 84 x 16 = 1344. If we do this again starting from 1344, we get (1+3+4+4) * (1*3*4*4) = 576 And yet again (5+7+6) * (5*7*6) = 3780
At this stage we know what the next answer will be (without working it out) because, as one digit is 0, the product of the digits will be 0, and hence the answer will also be 0. Can you find any numbers to which when we apply the above mentioned rule repeatedly, we never end up at 0?

Ans:There are no such numbers

If you enjoyed this post Subscribe to our feed

1 Comment

  1. Anonymous |

    nopes you are wrong, there may be many numbers
    like
    1111
    1+1+1+1 = 4
    and 4*1 = 4 not 0 similarly

    123 end result will be 8
    etc etc

     

Post a Comment

On world