What divides into a number, and what a number divides into. The common ones are where the questions live.
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Find the sum of all the factors of 81.
I am a 3-digit odd number. All my three digits are different. All my three digits are multiples of 3. The digit in the ‘hundreds’ place is twice the digit in the ‘ones’ place. What number am I?
Alice’s present age is a 2-digit number which is also a multiple of 4. 5 years ago, her age was a factor of 54. What is Alice’s age 5 years later?
Mike had 72 oranges and 45 pears. He packed the fruits such that each bag contained an equal number of oranges and an equal number of pears. He packed the fruits into as many bags as possible. How many fruits were there in each bag?
Kenny has 3 pieces of rope of length 24 cm, 60 cm and 96 cm. He wants to cut them into smaller pieces of equal length without any leftovers. Each smaller piece must be as long as possible. How many such pieces of equal length can he get?
24 cm |------------| 60 cm |------------------------------| 96 cm |------------------------------------------------|
Using all the digits 8, 0, 9, 2, form the smallest multiple of 5.
After a rectangular piece of paper was cut into a maximum of 18 squares of sides 4 cm each, an L-shaped strip of paper was left over as shown. Given that the length of the rectangular piece of paper is 26 cm, what is the perimeter of the rectangular piece of paper before it was cut?
+--+------------------------------+ | | | | | | | | the 18 squares of 4 cm | | | | | | | +--+------------------------------+ | strip | -+- 1 cm +---------------------------------+ -+- |<------------ 26 cm ------------>| the leftover L-strip is the narrow band down the left edge plus the 1 cm band along the bottom
What is the smallest number greater than 1 that leaves a remainder of 1 when it is divided by 2, by 3 and by 4?
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