Question

find the greatest power of 143 which can divide 125! exactly.

Answer 1

Acc to the ques, we have to find the greatest power of 143 which can divide 125! exactly.

So, firstly find the factors of 143.

143 = 11 x 13.

Now we have to find the greatest power of 11 and 13 individually and then get the grouping done to get the final result.

So, highest power of 11 in 125! will be 125/11 = 11 [considering the quotient part]

Similarly, for 13 the greatest power in 125! will be 125/13 = 9 [considering the quotient part].

As you can see the count of 13 is 9 but that of 11 is 11.

So the greatest power of 143 which can divide 125! exactly will be 9.

Answer 2

Answer:

find the greatest number that can divide 325 and 125 exactly