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Question Number 73551 by Rio Michael last updated on 13/Nov/19
how many divisors does 38500 have?
$${how}\:{many}\:{divisors}\:{does}\:\mathrm{38500}\:{have}? \\ $$
Answered by mind is power last updated on 13/Nov/19
38500  =10^2 .5.77=2^2 5^3 .7.11  number of divisors=(2+1)(3+1)(1+1)(1+1)=48
$$\mathrm{38500} \\ $$$$=\mathrm{10}^{\mathrm{2}} .\mathrm{5}.\mathrm{77}=\mathrm{2}^{\mathrm{2}} \mathrm{5}^{\mathrm{3}} .\mathrm{7}.\mathrm{11} \\ $$$${number}\:{of}\:{divisors}=\left(\mathrm{2}+\mathrm{1}\right)\left(\mathrm{3}+\mathrm{1}\right)\left(\mathrm{1}+\mathrm{1}\right)\left(\mathrm{1}+\mathrm{1}\right)=\mathrm{48} \\ $$

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