Class 5 Exam > Class 5 Notes > Mathematics for Class 5: NCERT > Word Problems: Be My Multiple, I’ll Be Your Factor
Word Problems: Be My Multiple, I’ll Be Your Factor | Mathematics for Class 5: NCERT PDF Download
Q1: Sarah is skip counting by 4. If she starts at 3, what are the first four multiples she will say?
Ans: Multiples of 4 starting from 3: 3, 7, 11, 15
Q2: A factory produces toys in batches of 5. If they have already produced 3 batches, how many toys have they made in total?
Ans: Total number of toys in 3 batches: 3×5=153×5=15 toys
Q3: Find the factors of 18 and identify whether 9 is a factor of 18.
Ans: Factors of 18: 1, 2, 3, 6, 9, 18
Yes, 9 is a factor of 18.
Q4: James is using a factor tree to find the prime factors of 144. Write the prime factorization of 144 using a factor tree.
Ans: 144=2×2×2×2×3×3
Q5: If the common multiples of 5 and 8 are listed, what is the least common multiple?
Ans: Multiples of 5: 5, 10, 15, 20, 25, 30, ...
Multiples of 8: 8, 16, 24, 32, 40, ...
Least common multiple: 40
Q6: Mary wants to buy some books. If each book costs $6, and she has $30, how many books can she buy?
Ans: Number of books Mary can buy: 30÷6=530÷6=5 books
Q7: If the highest common factor of two numbers is 7, and one of the numbers is 21, what is the other number?
Ans: Let the other number be x. Since 7 is the highest common factor: 7×x=21
Solving for x, 3x=3
Q8: Find the first four multiples of 9 and list the common multiples of 9 and 12.
Ans: Multiples of 9: 9, 18, 27, 36
Multiples of 12: 12, 24, 36
Common multiples: 36
Q9: A rectangular garden has a length of 15 meters and a width of 20 meters. What is the area of the garden?
Ans: Area of the garden: 15×20=300 square meters
Q10: Express the number 56 as a product of its prime factors.
Ans: 56=2×2×2×7
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FAQs on Word Problems: Be My Multiple, I’ll Be Your Factor - Mathematics for Class 5: NCERT
| 1. What is a multiple and a factor in mathematics? |  |
Ans. In mathematics, a multiple is the product of a number and any whole number, while a factor is a number that divides evenly into another number.
| 2. How can I find the multiples of a given number? | |
Ans. To find the multiples of a given number, you can multiply that number by any whole number. The resulting numbers will be the multiples of the given number.
| 3. What are the common factors of two or more numbers? | |
Ans. The common factors of two or more numbers are the numbers that divide evenly into all of those numbers. For example, the common factors of 12 and 18 are 1, 2, 3, and 6.
| 4. How do I determine if a number is a multiple of another number? | |
Ans. To determine if a number is a multiple of another number, you can divide the first number by the second number. If the division is exact with no remainder, then the first number is a multiple of the second number.
| 5. Can a number have more than one factor? | |
Ans. Yes, a number can have multiple factors. In fact, every whole number has at least two factors - 1 and itself. For example, the factors of 9 are 1, 3, and 9.
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