Q

# A composite number has 89 factors and is divisible by 81. Then,

A composite number has 89 factors and is divisible by 81. Then,

• Option 1)

The number is not divisible by 243

• Option 2)

There are infinite such numbers

• Option 3)

The number is not divisible by 250

• Option 4)

There is a unique number satisfying the given conditions

• Option 5)

There are more than 1 but finite such numbers

Hence number$= 3^{89}$