how do you get the number 2592 using the numbers 1 to 10 using 2 twice?

Question

The question is posed as a navigation exercise - work your way from number to number, with 2 down twice to reach the product of them all being 2592.

Answer 1

2592=2⁵×3⁴. Note that 5 and 7 are not factors, so it would be necessary to combine them to produce a valid factor: 7+5=12=2²×3, 7-5=2, for example.

Take the product: 1×2×3×4×6×8×9=10368=4×2592. We can create 4 by using 2 again and also 7-5=2. This would be the divisor.

So we have 1×2×3×4×6×8×9/(2(7-5))=10368/4=2592.