Question 41
If N= a*b where a,b are prime numbers, then what are the number of factors of $$N^3/b^2$$
Solution
$$N^3=a^3\cdot b^3\ $$ and $$\frac{N^3}{b^2}=a^3\cdot b^{ }\ $$
The number of factors of $$ a^3\cdot b^{ }\ $$ = 4*2=8.
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