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4th Grade > Mathematics

FACTORS AND MULTIPLES MCQs

Total Questions : 40 | Page 2 of 4 pages
Question 11. The largest number which can divide 28 and 42 completely is ___.
  1.    2
  2.    3
  3.    14
  4.    7
 Discuss Question
Answer: Option C. -> 14
:
C
The largest number which can divide 28 and 42 completely is the HCF of the two numbers.
The Largest Number Which Can Divide 28 And 42 Completely Is ...
HCF of 28 and 42
=2×7=14
Question 12. Find the greatest number that divides 2, 3 & 6 exactly.
  1.    2
  2.    1
  3.    3
  4.    5
 Discuss Question
Answer: Option B. -> 1
:
B
The greatest number that can divide 2, 3 and 6 exactly is their HCF.
Factors of 2: 1, and 2
Factors of 3: 1, and 3
Factors of 6: 1, 2, 3, and 6
So, the common factor is 1 which is also the HCF.
Question 13. The LCM of 3 and 5 is:
  1.    30
  2.    15
  3.    35
  4.    40
 Discuss Question
Answer: Option B. -> 15
:
B
Factors of 3: 1, 3
Factors of 5: 1, 5
3 and 5 are co-prime numbers because 1 is their only common factor.
LCM of co-prime numbers is equal to the product of the numbers.
So,
LCM of 3 , 5=3×5=15
Question 14. Except ___ , every number has at least two factors.
 Discuss Question

:
1 is an unique number. It is neither a prime number nor a composite number.
1 is the only number that does not have two factors.
Question 15. How many common factors do 6 and 4 have?
  1.    2
  2.    3
  3.    4
  4.    6
 Discuss Question
Answer: Option A. -> 2
:
A
Factors of 6: 1, 2, 3, 6
Factors of 4: 1, 2, 4
Common factors : 1 ,2
Hence, 6 and 4 have 2 common factors.
Question 16. The least number which is exactly divisible by 6, 12, 24 is ___.
  1.    24
  2.    12
  3.    6
  4.    1
 Discuss Question
Answer: Option A. -> 24
:
A
The least number which is exactly divisible by 6, 12, 24 is the LCM of the 3 numbers.
26,12,2423,6,1223,3,633,3,31,1,1
LCM of 6, 12 and 24
=2×2×2×3=24
Question 17. The largest factor of a number is ___
  1.    Number itself
  2.    1
  3.    3
  4.    7
 Discuss Question
Answer: Option A. -> Number itself
:
A
The largest factor of a number is the "number itself".
For example, the highest factor of 48 is 48.
The lowest factor of any number is 1.
Question 18. Three measuring rods are 6 cm, 4 cm and 8 cm long. Find the shortest length that can be measured exactly by each one of these rods.
  1.    32 cm
  2.    24 cm
  3.    40 cm
  4.    48 cm
 Discuss Question
Answer: Option B. -> 24 cm
:
B
To find the shortest length that can be measured exactly by using each one of these rods, we need to find the LCM of their lengths.
26,4,823,2,423,1,233,1,11,1,1
LCM =2×2×2×3=24cm
Therefore, 24cm is the shortest length that can be measured exactly by each one of these rods.
Question 19. Find the LCM of 25, 50 and 100.
  1.    25
  2.    50
  3.    75
  4.    100
 Discuss Question
Answer: Option D. -> 100
:
D
Using the prime factorization method:
225,50,100525,25,5055,5,1021,1,21,1,1
LCM of25, 50 and 100 =2×5×5×2=100
Question 20. 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.

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