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5th Grade > Mathematics

FACTORS AND MULTIPLES MCQs

Total Questions : 40 | Page 1 of 4 pages
Question 1. The sum of first five multiples of 6 is  ___.
  1.    30
  2.    60
  3.    90
  4.    120
 Discuss Question
Answer: Option C. -> 90
:
C
First 5 multiples of 6: 6,12,18,24,30
Sum of first 5 multiples of 6 is : 6+12+18+24+30=90
Question 2. What is the sum of the first 5 prime numbers?
  1.    17
  2.    25
  3.    28
  4.    39
 Discuss Question
Answer: Option C. -> 28
:
C
First five prime numbers are: 2, 3, 5, 7, 11
Product of first five prime numbers is 2+3+5+7+11=28
Question 3. Which of the following is a factor pair of 24?
  1.    2 and 13
  2.     1 and 13
  3.    3 and 12
  4.    4 and 6
 Discuss Question
Answer: Option D. -> 4 and 6
:
D
4 and 6 form a factor pair of 24 as 4×6=24.
2 and 13 form a factor pair of 26 as 2×13=26.
1 and 13 form a factor pair of 13 as 1×13=13.
3 and 12 form a factor pair of 36 as 3×12=36.
Question 4. The number 7 has ___ multiples.
  1.    1
  2.    10
  3.    Finite
  4.    Infinite
 Discuss Question
Answer: Option D. -> Infinite
:
D
To get multiples of any number, we multiply counting numbers with that number.
Since there are infinite counting numbers, multiples of any number are also infinite.
Question 5. The product of two numbers is 228. If their HCF is 12, then what will be their LCM?
  1.    20
  2.    1
  3.    19
  4.    0
 Discuss Question
Answer: Option C. -> 19
:
C
HCF of two numbers × LCM of two numbers = Product of the two numbers
12×LCM=228
LCM =22812=19
Question 6. We know that 3×5=15
Which of the following statements is incorrect?
  1.    15 is a multiple of 3
  2.    15 is a multiple of 5
  3.    3 is a factor of 15
  4.    15 is a factor of 3
 Discuss Question
Answer: Option D. -> 15 is a factor of 3
:
D
When we multiply two numbers, both the numbersare the factors of the product obtained. Here we have 3 and 5, which arethe factors of 15.
The product obtained is the multiple of the two numbers.Here we have 15, which is the muliple of both 3 and 5.
Therefore, the statement "15 is a factor of 3" is incorrect because 15 is a multiple of 3.
Question 7. The smallest composite number is
  1.    1
  2.    4
  3.    3
  4.    0
 Discuss Question
Answer: Option B. -> 4
:
B
A composite number is a number which has more than two factors.
The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16. The smallest among the set of composite numbers is 4.
Question 8. A factorization in which every factor is a prime number is called ___
 Discuss Question

:
Prime factorization is finding the factors of a number that are all prime.The prime factors of 15 are 3 and 5.
Question 9. The difference between the largest factor and the smallest factor of 100 is ___
  1.    99
  2.    48
  3.    49
  4.    100
 Discuss Question
Answer: Option A. -> 99
:
A
The smallest factor of any number is 1 and the highest factor of any number is the number itself.
Therefore, the difference between the highest and the smallest factor of 100 is, 1001=99
Question 10. What is the least number that is exactly divisible by 15, 10 and 16?
  1.    16
  2.    240
  3.    60
  4.    160
 Discuss Question
Answer: Option B. -> 240
:
B
The least number that is exactly divisible by 15, 10 and 16is the LCM of the three numbers.
215,10,16215,5,8215,5,4215,5,2315,5,155,5,11,1,1
LCM of 15, 10 and 16=2×2×2×2×3×5=240

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