Prime numbers - practice problems - page 7 of 23
Number of problems found: 458
- Find unknown number
What is the number between 50 and 55 that is divisible by 2,3,6,9? - 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, - Electric 36771
There was a gear in the electric mixer. The drive wheel had 24 teeth. The driven wheel had 36 teeth. When did the same teeth of both wheels meet again? - Determine 36601
The plumbers have to cut sheet metal measuring 220 cm and 308 cm into squares of equal size so that the squares are as large as possible and the sheet metal is used without residue. How many such squares will they cut? Determine the side of this square. - Two hundred
Two hundred ten athletes competed in three athletics races on three fields. One hundred five athletes competed in the first, 60 in the second, and everyone else in the third. On the individual courts, the athletes were divided into groups. Although compet - The classroom
The classroom is 9 meters long. The width of the classroom is smaller and can be passed in equally long steps of 55 CM or 70 CM. Find the width of the classroom. - Together 36443
Three buses are leaving the bus station. The circuit of the first bus lasts 1 hour, 24 minutes, the second 150 minutes, and the third 2 hours. When will they leave together? - The land
The owner wants to divide the land with dimensions of 220 m and 308 m into equally large square plots with the largest possible area. How long will one side of the plot be? - Three-fifths 34771
Calculate three-fifths of the ratio of the product and the sum of all prime divisors of 240. - Four-sevenths 34451
In how many parts do I have to divide the line whose endpoints are the images of the numbers 0 and 1 on the number axis so that they can be displayed: three-fifths, four-sevenths, five-eighths, and six-sixths - Square gardens
The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the square's side length. - How many
How many different rectangles with integer side lengths have an area S = 60 cm²? - Prime divisors
Find 2/3 of the sum's ratio and the product of all prime divisors of the number 120. - Chairs
The two dining rooms in the recreational building have equally arranged chairs around the tables. A maximum of 78 people can dine in the first dining room and 54 in the second. How many chairs can be around one table? - 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? - Divisible by nine
How many three-digit natural numbers in total are divisible without a remainder by the number 9?
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