The product of all factors of n is 2,176,782,336,000,000,000,000,000,000,000,000
Find n.
If I told you 612=2,176,782,336 you shouldn't need a calculator.
As the prime factors of n are 2, 3 and 5:
clearvars,clc
for f2=sym(1):12
n1=2^f2;
for f3=sym(1):12
n2=n1*3^f3;
for f5= sym(1):12
n=n2*5^f5;
p=prod(divisors(n));
if p<10^35 && p> 10^30
disp([n p])
end
end
end
end
finds the following within the orders of magnitude expected
[540, 614787626176508399616000000000000]
[600, 2176782336000000000000000000000000]
[360, 4738381338321616896000000000000]
[480, 149587343098087735296000000000000]
and n is 600.
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Posted by Charlie
on 2023-05-10 15:07:12 |
computer-based solution
