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  • Find number of factors of following numbersOption: 1 1200Option: 2 20000<div

Find number of factors of following numbers

Option: 1

1200


Option: 2

20000


Option: 3

360


Option: 4

17100


Answers (1)

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Number of factors of $1200=2^{4 *} 3^{1 *} 5^2=5 * 2 * 3=30$
Number of factors of $20000=2^{5 * 5^4}=6 * 5=3

Number of factors of $360=2^3 * 3^2 * 5^1=4 * 3 * 2=24$
Number of factors of $17100=2^{2 *} 3^{2 *} 5^2 * 19^1=3^* 3 * 3 * 2=54$

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