Monday 9 March 2015

the 210 puzzle

two hundred and ten, 210, may seem like a non eventful little number, but it is the 4th primorial and therefore quite important. the primorials are products of consecutive primes starting from 2,
so they start with 2 then 2*3 = 6 , then 2*3*5 = 30 and 2*3*5*7 = 210
what's more amazing about 210, is there are 4 = 2*2 prime factors and the
number of distinct factors is (1+1)*(1+1)*(1+1)*(1+1) = 16 = 4*4 and the
sum of all the distinct factors is 576 = 24*24
furthermore, all the 16 factors can be represented by rectangles and packed into a 24 by 24 square



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