Problem Solving (PS) | If a three digit number ‘xyz’ has 3 factors, how many factors does the

\(xyzxyz=xyz*1001=xyz*7*11*13\)
and\(xyz = a^2\) as it has ONLY 3 factors so it is SQUARE of prime number..
so\(xyzxyz=a^2*7*11*13\) ..
two possibilities now:-
1) if a is a different PRIME, number of factors = 3*2*2*2=24..
2) If a is one of 7,11 or 13 # = 11^3*7*13 = 4*2*2=16

so 16 or 24

E
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