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

SSC CHSL 4 Mar 2018 Shift 1 Paper

Section: General Awareness

Question : 77 of 100

Marks: +1, -0

Calculate the total numbers of prime factors in the expression

(4)^ 11 × (5)^ 5 × (3)^ 2 × (13)^2

Solution:

Expression :

(4)^ 11 × (5)^ 5 × (3)^ 2 × (13)^2

Prime factorization =

(2)^ 22 × (5) ^5 × (3) ^2 × (13)^2

Now, there are 4 distinct factors = 2, 3, 5, 13
Total number of prime factors =

22 + 5 + 2 + 2 = 31

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