How many prime factors exist in the number: 7^3\times6^1\times10^2\times4^4\times5^6 .

Number System Practice Test 5

Question : 29 of 40

Marks: +1, -0

How many prime factors exist in the number:

7^3×6^1×10^2×4^4×5^6 .

Solution:

7^3×6^1×10^2×4^4×5^6

=7^3×2^1×3^1×5^2×2^2×2^8×5^6

=2^11×3^1×5^8×7^3 .

Prime factors = 11 + 1 + 8 + 3 = 23.

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