Question

Find the number of factors of $120$.

Answer 1

120 is a composite number so it has more thentwo factors unlike a prime number which has only two factors i.e ,1 and the number itself.But 120 can be expressed in terms of its prime factors as 120=$2\times 2\times 2\times 3\times 5$The above 5 prime factors it has other factors tooThe same can be calculated by:Numbers of factors=Each prime factors highest power1 multiplied by each of the other factors highest power +1.so, here highest power of 2,3 and is '3'.'1' and '1'respectively.Therefore,$120(3+1)\times (1+1)\times (1+1)=16$ factors.