# Prime numbers - practice problems

#### Number of problems found: 485

- The number 88

Write 88 as a product of prime factors. - Divisor of two numbers

Find the (greatest common) divisor of 18 and 45. - The difference 9

The difference of two numbers is 20 and their product is 56.25 times their difference. Find the LCM of the numbers. - Joseph 2

Joseph visits the club on every fifth day, Harry visits on every 24th day, and Susan visits on every ninth day. If all three of them met at the club on a Sunday, then on which day will they meet again?

- The HCF

The HCF of two numbers is 18 and their product is 12960. Their LCM will be - Multiple and remainder

What is the least multiple of 7, which, when divided by each one of 6,9,15,18, gives the remainder of 4 in each case? - Known hcf and find lcm

Given that HCF (306, 657) = 9, find LCM (306, 657). - Sport field

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Roland takes 12 minutes for the same. Suppose they both start at the same point and at the same time and go in the same direction. After how many - Tailors

Find the largest number of tailors who can share either 48m or 12m of fabric equally without a reminder?

- 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.

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