Prime numbers - practice problems - page 4 of 27
Number of problems found: 540
- Factorization and primes
How many times does the digit 2 appear in the prime factorisation of 2,024? - Toy car collection
Martin has more than 50 and fewer than 100 toy cars in his collection. A fifth of them are trucks, an eighth are vintage cars, and the rest are models of modern passenger cars. How many toy cars does Martin have in his collection, and how many of them are - Groups
Into what is the largest number of equal groups we can divide 336 children and 24 adults, such that each group contains the same number of children and the same number of adults? - 23 students
The ninth-grade students went on a field trip in a number such that when seated at tables of 4, 5, or 6, there was always exactly one seat left empty. What is the smallest number of students who could have participated in the field trip? - The denominator
Find unknown denominator in fraction inequality: 6/5>41/_>8/7 - Balls 6
Jane has balls in her bag that can be divided equally among 4, 5, or 6 children. What is the minimum number of balls Jane could have in her bag? - Find b from LCM
The least common multiple of 2,190 and b is 13,140. What is b? - Product 3DN
How many three-digit numbers are there whose product of digits is 5? - Electricity bill - share
Three roommates divided the electricity bill according to the time spent on the PC. Adam and Brano's time is divided in the ratio of 1:4, and Brano and Damian's time is divided in the ratio of 2:5. In what proportion do all three boys spend the time at th - Candy boxes
You are supposed to create as many identical boxes of chocolates as possible from a total of 280 nut, 252 nougat and 420 marzipan candies. You must not leave any candy behind or missing any. What will be the composition of one box and how many can you mak - Boys book pages
Three boys, Ivo, Walter, and Alan, are reading the same book, with the condition that they will read the same number of pages every day during the entire reading until they finish the book. Ivo reads 18 pages from it every day, Walter reads 24 pages, and - Christmas package identical
Parents are making Christmas gazebos/packages for children. We have 96 apples, 320 candies, 80 gum, 112 nuts. How many identical packages can I make from a given material? - Truck sand meeting
The new truck makes one trip with sand in 18 minutes, and the older truck takes one-third as long to make one trip. Both will leave at the same time in the morning. How long will it take for them to meet again, and how many times will they meet in an eigh - Club members
The fan club has 275 members. Some members went to the match by train. Determine how many members rode when they could fill the wagons with either 60 or 80 seats. - Cube cuboid minimum
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes - Tomáš NHL cards
Thomas collects NHL cards. Find out that he will never have any cards left if he divides them into groups of three, four, five, or six. Determine how many hockey cards Thomas has; if their number is three-digit and starts with the number 2, - Mo z5 2023 dogs
Anetka's uncle has his birthday on the same day of the year as Anetka's aunt. The uncle is older than the aunt, but not by more than ten years, and both are of full legal age. At the last celebration of their birthdays, Anetka realised that when she multi - Square tile paving
We have to pave the smallest possible square with rectangular tiles with 168 cm and 280 cm sides. What will its side of the square be? - Pole cutting pieces
Mr. Novák needs three wooden poles 21 dm, 350 cm, and 2.8 m long. He needs to cut them into smaller pieces of the same length, as long as possible. How long will he get and how many pieces will he have altogether? - Adam had 3
Adam had paper which was so large that several tens of thousands of pieces could be torn from it. First he tore the paper into four pieces. Each of these pieces he took and tore either into four or into ten pieces. In the same way he continued further: ea
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