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`4^(10)xx7^(3)xx16^(2)xx11xx10^(2)` में कितने आभाज्य गुणनखण्ड हैं?

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`4^(10)xx7^(3)xx16^(2)xx11xx10^(2)` में कितने आभाज्य गुणनखण्ड हैं?
A. 34
B. 35
C. 36
D. 37
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Correct Answer - C
`4^(10)xx7^(3)xx16^(2)xx11xx10^(2)`
`implies(2^(2))^(10)xx(7)^(3)x(2^(4))^(2)xx11^(1)xx2^(2)xx5^(2)`
`implies2^(20+8+2)xx7^(3)xx11^(1)xx5^(2)`
`implies2^(30)xx7^(3)xx11^(1)xx5^(2)`
Total factors `implies30+3+1+2`
`implies36`
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