Question

find the greatest five digit number that will divide 24 and 160 exactly

Answer 1

Answer:

No 5 digit no. can divide 24 And 160 exactly

only 24 and 160 can divide any 5 digit no exactly.

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

If a real x is divisible by a & b then it is also divisible by LCM of a & b

LCM = Least common multiple

TO DETERMINE

The greatest five digit number that will divide 24 and 160 exactly

CALCULATION

Here

$24 = 2 \times 2 \times 2 \times 3$

$160 = 2 \times 2 \times 2 \times 2 \times 2 \times 5$

So

$LCM = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 5 = 480$

Now the greatest five digit number is 99999

If we divide 99999 by 480 then

Quotient = 208 and Remainder = 159

RESULT

Hence The greatest five digit number that will divide 24 and 160 exactly is

= 99999 - 159

= 99840