Factors And Multiples(4th Grade > Mathematics ) Questions and answers for exam Preparation

4th Grade > Mathematics

FACTORS AND MULTIPLES MCQs

Total Questions : 40 | Page 1 of 4 pages

Question 1. Find the greatest number that divides 3 & 6 exactly.

Discuss Question

Answer: Option B. -> 3
:
B
A number that divides 3 and 6 exactly is a common factor of 3 and 6.

∴

The greatest number that divides 3 and 6 is equal to their Highest Common Factor (HCF).
We need to find the HCF of 3 and 6.
Factors of 3 = 1 , 3
Factors of 6 = 1 , 2 , 3 , 6
The commonfactors of 3 and 6 are 1 and 3.

∴

The highest common factorof 3 and 6 is 3.

∴

The greatest number that divides 3 and 6 exactly is 3.

Question 2. Which of the following is a factor pair of 26?

2 and 13
1 and 13
3 and 12
4 and 6

Discuss Question

Answer: Option A. -> 2 and 13
:
A
2 and 13 form a factor pair of 26 as

2 \times 13 = 26.

1 and 13 form a factor pair of 13 as

1 \times 13 = 13.

3 and 12 form a factor pair of 36 as

3 \times 12 = 36.

4 and 6 form a factor pair of 24 as

4 \times 6 = 24.

Question 3. The product of two numbers is 228. If their HCF is 12, then what will be their LCM?

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Answer: Option C. -> 19
:
C
HCF of two numbers

\times

LCM of two numbers = Product of the two numbers

12 \times L C M = 228

LCM

= \frac{228}{12} = 19

Question 4. The smallest number that is divisible by 2,4,6 is____

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Answer: Option B. -> 12
:
B
The smallest number divisible by any 2 or more numbers istheir least common multiple (LCM).
The multiples of 2 : 2 , 4 , 6 , 8 , 10 , 12 , 14 .....
The multiples of 4: 4 , 8 , 12 , 16 , 20 ......
The multiples of 6: 6 , 12 , 18 , 24 .........
As you can see, 12 is the smallest multiple that is commom for all 3 numbers.
So, the LCM of 2, 4, 6 = 12

Question 5. The HCF of 13 & 7 is

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Answer: Option C. -> 1
:
C
Factors of 13:1, 13
Factors of 7:1, 7
The only common factor is 1.
Hence the HCF of 13 and 17 is 1.

Question 6. ___ is a factor of every number.

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:
One is the common factor for all the numbers.
Each number is divisible by one and the "number itself".
For example, 3 is divisible by both 1 and 3.

Question 7. In which of the following cases, is the first number a factor of the second number?

4, 38
6, 52
8, 96
5, 33

Discuss Question

Answer: Option C. -> 8, 96
:
C
When 38 is divided by 4, the remainder is 2. So, 4 is not a factor of 38.
When 52 is divided by 6, the remainder is 4. So, 6 is not a factor of 52.
When 33 is divided by 5, the remainder is 3. So, 5 is not a factor of 33.
When 96 is divided by 8 the remainder is 0. So, 8 is a factor of 96.

Question 8. The ___ of two or more numbers is the least number which is exactly divisible by those numbers.

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:
The LCM of two or more numbers is the least number whichis exactly divisible by those numbers.
Example: LCM of 4 and 6 is 12. So, 12 is the least number which is exactly divisible by 4 and 6.

Question 9. The largest 2-digit prime number is ___

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:
Prime numbers are numbers which are divisible by1 and the "number itself",
So, 3 is a prime number as it is divisible by only 1 and 3.
99 is not a prime number as it is divisible by 1, 9, 11, 99.
98 is also not a prime number as it is divisible by 1, 2, 7, 49, 98.
The largest 2-digit prime number is 97, as it is divisible only by 1 and 97.

Question 10. Manu goes to dance class once in every 6 days, to karate class once in every 12 days and to art classes once in every 18 days. He attends all the three classes on 1st of April. On which day, will he attend all the 3 classes again?