Divisibility - practice problems - page 6 of 21
Number of problems found: 407
- Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div - Decompose 37101
Decompose the number of primes and find its digit sum: 180, 232, 460, 240, 365, - All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a. - Prime divisors
Find 2/3 of the sum's ratio and the product of all prime divisors of the number 120.
- Summer camp
Some boys or girls signed up for the summer camp, which has a maximum capacity of 200 children. The main leader noticed that during the evening start, he could arrange the participants exactly in the twelve-step, sixteen-step, or eighteen-step, and no one - Tractor wheels
The tractor's front wheel has a circumference of 18 dm and the rear 60 dm. We will make a red mark on the lowest point of both wheels. The tractor then starts. At what distance from the start will both marks appear identically at the bottom again? - Three
Three buses follow the same circular route. The first driver is the slowest because he has many stops, and it takes him 90 minutes to cross the route. The second driver will pass the circuit in 1 hour. The third driver has the fewest stops, and the circui - Pegs
From two sticks 240 cm and 210 cm long, it is necessary to cut the longest possible pegs for flowers so that no residues remain. How many pegs will it be? - Repeated 33571
Use the digits 3, 4, 5, and 6 to write all even numbers. How many such numbers can you write when you can repeat the numbers?
- Three-digit 33263
Calculate the difference between the smallest odd four-digit number and the largest even three-digit number, where we can form each number from only these digits: 0, 1, 3, 5, 7, 8, 9 without repeating digits. - Sum of odd numbers
Find the sum of all odd integers from 13 to 781. - Divisible by nine
How many three-digit natural numbers in total are divisible without a remainder by the number 9? - Denotes 32113
Write a formula for an even number x if y denotes any odd number. - Calculate 31861
Calculate the digit sum of 1 345 901
- Consecutive 31611
The sum of two consecutive natural numbers, of which the greater is 4x, equals the number 55. Determine the number x. - Numbered 31051
Pavel walks down the street on the side where the houses are numbered with even numbers. From the number 2, count the number of twos in the house numbers. He stops at home, in front of which he counts the fifteen two. What is the number of this house? - Five-digit 30481
Find the smallest five-digit number A432B that is divisible by 15. - How many
How many numbers are less than 222 with a digit sum is 8? - Air draft
The number 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a nu
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