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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.
Q 1: 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?
100
160
120

Q 2: 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?
Never
60 hours
70 hours

Q 3: 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
110
60

Q 4: Jane purchased some oranges to distribute to her friends. If she gave 4 or 5 or 6 oranges to each of her friends she will be left with 7 oranges. What is the least number of oranges she purchased?
67
Incorrect question
60

Q 5: Some toys are 15 dollars each, some are 45 dollars each, and some are 60 dollars each. Find the least sum of money with which we can buy an exact number of toys of each kind?
180
120
160

Q 6: Find the smallest number that is divisible by all even numbers between 5 and 15.
850
680
840

Q 7: 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 8: Some dolls are $30 each, some are $120 and some are $40 each. Find the least sum of money with which we can buy an exact number of dolls of each kind?
1200
180
120

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Question 10: This question is available to subscribers only!


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