Donut DivisionPro Problems > Math > Number and Quantity > Number Theory > Divisors
I had enough donuts to share evenly among twelve people without splitting any donuts. Then someone stole sixteen donuts, leaving me with enough to share evenly among seven people. If instead of sharing among seven people, I shared the remaining donuts among four people, how many did each person get, assuming I started with fewer than 100 donuts?
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What number is missing from the following list?
1, 2, 3, 4, 6, 8, 9, 18, 24, 36, 72
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x has 2n - 9 more divisors than x - 4, and it has 2n - 7 divisors more than x + 5.
What are the possible values of n, if x is a positive integer less than 50?
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