Question

Given that 1800k is a perfect cube, write down the smallest possible value of k .

Answer 1

hint : begin with finding prime factorization of 1800

Answer 2

2 2 2 5 5 11?

Answer 3

so the answer for k is (2x2x2x5x5x5x11x11x11)/1800?

Answer 4

11 is not a factor. check again...

Answer 5

ohh k=15?

Answer 6

but your process is correct !!
just find the correct prime factors and apply the same method... good luck :)

Answer 7

do you know of any other methods to solve this besides prime factorisation?

Answer 8

hmmm cant think of any right away... not getting any ideas :| lets wait for other responses....

Answer 9

ok thanks!