Prime numbers + divisibility - practice problems - page 2 of 11
Number of problems found: 208
- Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - Most divisors
Find the number with the most divisors from the natural numbers 1 to 100. - Rectangular 54871
The arranger has at his disposal a certain number of colored targets, from which he wants to create a rectangular pattern of a flower bed. If he puts 4,5,6,8,9, or 10 targets in one row, he always has three extra targets. How many targets does it have? De - Eights of butter
How many eights of butter (1/8 of kg = 125 g) can be stored in a box with dimensions of 4 dm, 2 dm, and 1.8 dm if an eighth of butter has dimensions of 8 cm, 5 cm, 3 cm?
- Divisibility 47523
Which of the top ten is not a divisible number of 2520? Use divisibility features to solve - Probability 41091
What is the probability that an odd prime will fall on a dice roll? - Divisors 40571
All common divisors of headings 90 and 48 - 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, - 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? - Divisible by nine
How many three-digit natural numbers in total are divisible without a remainder by the number 9? - Probability 28111
1. What is the probability that we write an even number from the numbers from 1 to 20? 2. We randomly draw one ticket From the eighteen tickets numbered 1 - 18. What is the probability that the ticket drawn will have: a) a number divisible by 3 c) a prime - Divisors of 560
Which of the numbers 5, 6, 7, 14, and 15 are divisors of 560? Please justify the answer. - The missing digit
Complete the missing digit in the number 3 ∗ 43 to form a number divisible by three. If there are multiple options, list them all. (The omitted digit is marked with the symbol ∗. ) Answers must be justified!
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