Prime numbers - practice problems - page 8 of 26
Number of problems found: 511
- Rectangular 56801
We are to create a square in the shape of a rectangle with an area of 288 m² (square) so that the sides are whole numbers. What are all the dimensions of the rectangular box we can make? How many is the solution?
- 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.
- Cherries 55831
There are cherries in the basket. If we can divide them equally between three, four, or five children, how many will there be?
- 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
- Athletics team
All athletes from the Ostrava athletics team can start in four, five, six, and seven stages, and no one will be present. How many average athletes are in one athletic group if there are twelve groups in the section? Consider the smallest number of athlete
- To the gym
Tony, Emil, and Patrick go to the gym regularly. Tony visits the gym every third day, Emil every fifth day, and Patrick every ninth day. How often does everyone meet at the gym?
- Simplest form 3
What fraction is 15 of 35 in simplest form?
- The sum 13
What is the sum of the exponents of the prime factors in the prime factorization of 196?
- 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?
- A number 5
A number is divisible by 24, 25, and 120 if it is increased by 20. Find the number.
- What fraction
What fraction of numbers 1 to 30 is prime?
- The drama club
The drama club meets in the auditorium every six days, and the choir meets there every five days. If the groups are both meeting in the auditorium today, then how many days from now will they next have to share the auditorium?
- Mangoes
Chris has 12 mangoes, and Jay has 18 mangoes. Each of them will share the mangoes with their friends. What's the greatest number of mangoes each of their friends gets if Chris and Jay give the same number of mangoes?
- 6/24 change
6/24 chance to a fraction in the lowest terms
- Part-time workers
On Saturday, 210 part-time workers arrived in the village. One hundred five part-time workers worked in the first field, 60 in the second. The other part-time workers worked in the third field. They all worked in equal groups. How many workers worked in e
- Divisibility 47523
Which of the top ten is not a divisible number of 2520? Use divisibility features to solve
- A rope
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15cm, 18cm, or 25cm. What is the shortest possible length of the rope?
- Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number.
- Smallest 44681
What is the smallest width of the pool to be divided without rest into equally wide tracks, either 80cm or 1m, or 120cm?
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