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