Prime numbers - practice problems - page 2 of 26
Number of problems found: 519
- 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 - Planetary system
Robert has built a mechanical model solar system with three balls representing planets at the end of rods. Each rod is attached to the center, representing the Sun. The planets are lined up when he turns on the motor. The innermost planet makes a revoluti
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