Question

My base is 10. My exponent is an odd number. If you write a multiplication sentence to show my value, it will have fewer than 4 factors of 10. My value is greater than 10. What number am I?

Answer 1

. The number is either 10^1 or 10^3 or 10^ 5 or . . . . 

If it is more than 10, then it is not 10^1. The next possibility is 10^3which is 1000, which has factors 2, 5, 10, 20, 25, 40, 50, 80, . . . . . 

What constitutes a "multiplication sentence" exactly ? This is not a standard mathematical term. Do you mean "reduce it to its prime factors" ? 

1000 = 2 x 2 x 2 x 5 x 5 x 5 

which is a lot more than 4 factors. Or not, if you write it as 2³ x 5³. 

But you could say the same about 100 000 = 2^5 x 5^5 

or about 10 000 000 = 2^7 x 5^7 

Take your pick. This is a very badly stated question.