Is there an efficient way to work out how many factors a large number has?
Helen made the conjecture that "every multiple of six has more
factors than the two numbers either side of it". Is this conjecture
Find the number which has 8 divisors, such that the product of the
divisors is 331776.
$1 + 2 + 3 = 6$
$2 + 3 + 4 = 9$
Can you explain why the total has gone up by $3$?