Question

Arun finds all the factors of 999. He then multiplies ALL the factors of 999.
Which of the following is TRUE about the answer he gets.
A. It is same as 999
B. It is a factor of 999.
C. It is a multiple of 999.
D. Cannot say without finding all the factors of 999.

Answer 1

Answer :

We know factors of any number can divide that number with giving any remainder .
So,
We know all factors of 999 = 1, 3 , 9 , 27 , 37 ,111 , 333 , 999

After their multiplication , we get = 1 $\times$ 3 $\times$ 9 $\times$ 27 $\times$ 37 $\times$ 111 $\times$ 333 $\times$ 999 = 996005996001

And

996005996001 = 999 $\times$ 997002999
So,

After multiplication of factors of 999 we get ( 996005996001 ) that is multiple of 999 .


Option ( C ) ( Ans )