Class 5 Exam > Class 5 Notes > Mathematics for Class 5: NCERT > Important Questions: Be My Multiple, I’ll Be Your Factor
Class 5 Maths Chapter 6 Important Question Answers - Chapter 6- Be My Multiple, I`ll be Your Factor
Q1: The product of two numbers is 882 and their LCM is 126 . What is the HCF of these numbers?
Ans: Given that:
Product of two numbers = 882
LCM of the same numbers = 126
HCF = ?
Since we know that,
HCF x LCM = Product of the numbers
HCF x 126= 882
HCF = 882/126
HCF = 7.
Hence, the HCF is 7.
Q2: Find four common multiples of 8 and 12.
Ans: To find common multiples, we need to calculate LCM of both numbers,
Factors of both numbers are as follows:
8 = 2 × 2 × 2
12 = 2 × 2 × 3
Hence, LCM = 2 × 2 × 2 × 3
= 24
Multiples of 24 will be common multiples of 8 and 12.
Hence, four common multiples of 8 and 12 are 24 , 48 , 72 and 96.
Q3: What is L.C.M
Ans: LCM stands for least common multiple. The LCM of two numbers is the smallest number that they both divide evenly into. For example- LCM of 2 and 3 is 6.
Q4: Write the first ten multiples of 6 and 8 .Circle their common multiples.
Ans: Multiples of 6 → 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 8 → 3, 16, 24, 32, 40, 48, 56, 64, 72, 80
Common multiples of 6 and 8, 24, 48
Q5: Write the prime factors of 120
Ans: Factors of 120 = 2 × 2 × 2 × 3 × 5
Prime factors = {2 , 3 , 5}
Q6: Give two examples of a number which is divisible by:
(a) 3 but not 9
(b) 2 but not 6.
Ans: (a) Two numbers which are divisible by 3 but not by 9 are 3, 6.
(b) Two numbers which are divisible by 2 but not by 6 are 2, 4.
Q7: Write down all the factors of the following number 75
Ans: 75 = 1 × 75
75 = 3 × 25
75 = 5 × 15
Hence the factors are 1, 3, 5, 15, 25 and 75
Q8: Write the first six multiples of: 4
Ans: Following are the first six multiples of 4
1 × 4 = 4
2 × 4 = 8
3 × 4 = 12
4 × 4 = 16
5 × 4 = 20
6 × 4 = 24
Hence multiples of 4 are 4 , 8 , 12 , 16 , 20 and 24
Q9: Fill in the blanks:
Every number is a multiple of________
Ans: Every number is a multiple of itself
Q10: Write the first six multiples of: 11
Ans: Following are the six multiples of 11
1 × 11 = 11
2 × 11 = 22
3 × 11 = 33
4 × 11 = 44
5 × 11 = 55
6 × 11 = 66
Hence, multiples of 11 are 11 , 22 , 33 , 44 , 55 and 66
The document Class 5 Maths Chapter 6 Important Question Answers - Chapter 6- Be My Multiple, I`ll be Your Factor is a part of the Class 5 Course Mathematics for Class 5: NCERT.
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FAQs on Class 5 Maths Chapter 6 Important Question Answers - Chapter 6- Be My Multiple, I`ll be Your Factor
| 1. What is the concept of being a multiple and a factor? |  |
Ans. In mathematics, being a multiple means a number can be divided evenly by another number without leaving a remainder, while being a factor means a number can evenly divide another number without leaving a remainder.
| 2. How can 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 check if the first number can be obtained by multiplying the second number by an integer. If the division between the two numbers is exact, then the first number is a multiple of the second number.
| 3. How do I find the factors of a given number? | |
Ans. To find the factors of a given number, you can divide the number by all the numbers that are less than or equal to its square root. If the division is exact, then the divisor is a factor of the given number.
| 4. Can a number be both a multiple and a factor of another number? | |
Ans. Yes, a number can be both a multiple and a factor of another number. For example, if 5 is a factor of 15, then 15 is a multiple of 5.
| 5. How are multiples and factors related in mathematics? | |
Ans. Multiples and factors are related in mathematics as they involve the division of numbers. If a number is a multiple of another number, then the second number is a factor of the first number. Similarly, if a number is a factor of another number, then the first number is a multiple of the second number.
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