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Date:___________________
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MEAP Preparation - Grade 6 Mathematics
2.52 Prime Factorization Word Problems

  1. Read the questions carefully.
  2. Compute the results as per the question.
Example 1: What is the least number that is divisible by 5, 6 and 15?
Find the LCM of 5, 7 and 9
Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Multiples of 6 are 6, 12, 16, 24, 30
Multiples of 15 are 15, 30, 45, 60
Least Common Multiple (LCM) = 30
Answer: 30

Example 2:
Jill purchased some apples to distribute to her friends. If she gave 4 or 5 or 6 apples to each of her friends she will be left with 100 apples. What is the least number of apples she purchased?
Solution:
The L.C.M of 4,5,6 = 60
100 + 60 = 160
The least number of apples she purchased is 160.
Solution: 160 apples.
Directions: Solve the following questions. Also write at least five examples of your own.

Name: ___________________

Date:___________________

MEAP Preparation - Grade 6 Mathematics
2.52 Prime Factorization Word Problems

Q 1: George wished to buy some crackers. If he gave 2 crackers or 3 crackers or 4 crackers or 5 crackers to each of his friends, he is left with no crackers. What is the least number of crackers he must purchase?
140
60
110

 Q 2: What is the smallest number of students required so that they may be uniformly arranged in rows of 12, 16 or 20? (Hint: find the LCM of the numbers)
240
220
245

Q 3: Some boxes of chocolates are 20 dollars each, some ar 40 dollars and some are 60 dollars each. Find the least sum of money with which we can buy an exact number of chocolates of each kind?
120
100
160

 Q 4: Alana purchased some apples to distribute to her friends. If she gave 7 or 8 or 10 apples to each of her friends she will be left with 100 apples. What is the least number of apples she purchased?
380
56
1000

Q 5: Three clocks ring once at the same time. After that, the first clock rings after every 3 hours, the second after every 4 hours, and third after every 5 hours. After how many hours will they again ring together?
70 hours
Never
60 hours

 Q 6: Three clocks ring once at the same time. After that, the first clock rings after every 90 minutes, the second after every 30 minutes, and third after every 60 minutes. After how many minutes will they again ring together?
60
80
180

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 Question 8: This question is available to subscribers only!


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