How many prime factors of numbers exist in 8^7\times11^2\times14^3\times15^4?

Number System Practice Test 3

Question : 2 of 40

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How many prime factors of numbers exist in

8^7×11^2×14^3×15^4?

Solution:

8^7×11^2×14^3×15^4

=2^21×11^2×7^3×2^3×5^4×3^4

=2^24×11^2×7^3×5^4×3^4

So, the total number of prime factors of the number will be the sum of powers of prime = 24 + 2 + 3 + 4 + 4 = 37

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