Divisibility - examples

  1. Paving - joints
    tiles_6 We are paving with rectangular pavement 18 cm × 24 cm was placed side by side in height in a row and in the second row in width etc. How many times will the joints meet at a distance 10 cm?
  2. Odd numbers
    friends4_2 The sum of four consecutive odd numbers is 1048. Find those numbers ...
  3. Divisibility
    divisibility Is the number 109433 divisible by 7?
  4. Z9-I-4
    numbers_30 Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row she wrote a sum of this number and its one nines. Fi
  5. No. of divisors
    triangle_div How many different divisors has number ??
  6. Cherries
    visne Cherries in the bowl can be divided equally among 11 or 16 or 4 children. How many is the minimum cherries in the bowl?
  7. Meadow
    ovce-miestami-baran On the meadow grazing horses, cows and sheep, together less than 200. If cows were 45 times more, horses 60 times more and sheep 35 times more than there are now, their numbers would equall. How many horses, cows and sheep are on the meadow together?
  8. Mr. Zucchini
    cuketa Mr. Zucchini had a rectangular garden whose perimeter is 28 meters. Content area of the garden filled just four square beds, whose dimensions in meters are expressed in whole numbers. Determine what size could have a garden. Find all the possibilities and
  9. Plums
    svestka In the bowl are plums. How many would be there if we can divide it equally among 10, 11 and 15 children?
  10. Diofant 2
    1diofantos Is equation ? solvable on the set of integers Z?
  11. Diofant equation
    diofantos In the set of integers (Z) solve the equation: ? Write result with integer parameter ? (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
  12. Plumber
    klempir Plumber had to cut the metal strip with dimensions 380 cm and 60 cm to the largest squares so that no waste. Calculate the length of the sides of a square. How many squares cut it?
  13. Rectangles
    rectangles How many rectangles with area 2832 cm2 whose sides is natural numbers are?
  14. Birthdate
    lizatka Jane on birthday brought 30 lollipops and 24 chewing gum for their friends. How many friends has, if everyone receives the same number of lollipops and chewing gums? How much chewing gum and lollipops got any friend?
  15. Game room
    roulette Winner can took win in three types of jettons with value 5, 20 and 200 dollars. What is minimal value of win payable in this values of jettons?
  16. Group
    deti_skupina Group of kids wanted to ride. When the children were divided into groups of 3 children 1 remain. When divided into groups of 4 children 1 remain. When divided into groups of 6 children 1 missed. After divided to groups of 5 children its OK. How many are t
  17. Primes 2
    prime_table Which prime numbers is number 2007 divisible?
  18. Class
    pytagoras_class When Pythagoras asked how many students attend the school, said: "Half of the students studying mathematics, 1/4 music, seventh silent and there are three girls at school." How many students had Pythagoras at school?
  19. Stacks
    euro_stacks Annie has a total of $ 435. The money must be divided into stacks so that each buyer has the same amounth of dollars. How many options she have?
  20. Divisibility
    dots Determine the smallest integer which divided 8 gives remainder 6 when divided 19 gives remainder 9 and when divided by 11 gives remainder 2.

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