Prime numbers - practice problems - page 2 of 26
Number of problems found: 520
- Factorial divisible by 75
Find the least positive integer n such that n! is divisible by 75. - The size 3
The size of a wooden block is 15cm × 12cm × 20cm. How many such blocks will be required to construct a solid wooden cube of minimum size? - Three athletes
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point - Divisors 7 If 540=2²×3³×5, what is the number of all factors of 540?
- When three When three positive integers a, b, and c are multiplied together, their product is 64. Suppose a < b < c. In how many ways can the numbers be chosen?
- With remainder What is the greatest number that divides 13850 and 17030 leaves a remainder 17?
- Exactly divisibled Find the least number that can be divided exactly by all the even numbers between 10 and 20
- Greatest number What is the greatest number that will divide 62, 78, and 139, leaving remainders 2, 3, and 4, respectively?
- HCF and LCM equation The LCM of two numbers is 20 times their HCF and (LCM+HCF)=2520. If one number is 480, what will be the triple of another number?
- Add five to lcm The least number, which, when diminished by 5, is divisible by each of 21, 28, 36, and 45.
- LCM and HCF 2 If the product of two numbers is 5780 and their HCF is 17, then what is their LCM?
- Remainder one Find the least number when divided by 2,3,4,5,6, and 7, leaving the remainder as 1 in each case.
- Divisible by three What least value must be assigned to the unknown x so that the number 789x563 is divisible by 3?
- Plasticine cuboid Paul makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube?
- HCF - big numbers Find the HCF of 72030 and 88200
- GCD&LCM of three GCD of three numbers is 30 and LCM is 900. As two the are 60 and 150, find the number.
- Relay teams
There are 159 students to be grouped into relay teams. Each team should have the same number of students. Can each team have 3,5 or 6 students? Explain. - The ratio 16
Express the following ratio in simplest form: 90:100 - Common denominators
Find the common denominator 5/6 and 1/3 - Eggs in basket
If the eggs in a basket are removed twice at a time, one will remain. Two eggs will remain if the eggs are removed three at a time. If the eggs are removed four, five, or six at a time, the three, four, and five eggs will remain, respectively. However, no
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