Question 77

Calculate the total numbers of prime factors in the expression $$(4)^{11} \times (5)^{5} \times (3)^{2} \times (13)^{2}$$

Solution

Expression : $$(4)^{11} \times (5)^{5} \times (3)^{2} \times (13)^{2}$$

Prime factorization = $$(2)^{22} \times (5)^{5} \times (3)^{2} \times (13)^{2}$$

Now, there are 4 distinct factors = $$2,3,5,13$$

Total number of prime factors = $$22+5+2+2=31$$

=> Ans - (B)

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