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
x has 2n - 9 more divisors than x - 4, and it has 2n - 7 divisors more than x + 5.
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How many integers between 1 and 100 inclusive are multiples of either 2 or 3, but not of 6?
How many integers between 1 and 1000 inclusive are multiples of either 2 or 3?
The least common multiple of x and 36 is 180. The greatest common factor of x and 36 is 4. What is the value of x?
Reduce the following number to its prime factorization, without use of a calculator: 1006005. Explain the steps in your process.