CBSE Class 5 Mathematics Factors And Multiples Worksheet Set B

Topic : Factors and Multiples

Even Number : A number which is divisible by 2 is called even number.
Every even number has 0, 2, 4, 6, 8 as its unit digit.
For example : 80 , 246, 602, 23658 etc.

Odd Number : A number which is not divisible by 2 is called odd number.
Every odd number has 1, 3, 5, 7, 9 as its unit digit.
For example : 531, 457, 179, 3621 etc.

Test of Divisibility:

(1) Test of divisibility by 2: A number is divisible by 2, if its unit digit is any one of 0, 2, 4, 6 and 8.
For example- 246 , 680 , 15798 etc

(2)Test of divisibility by 3: A number is divisible by 3, if the sum of its digits is divisible by 3.
For example: Test the divisibility 837 by 3.
Sum of its digit = 8 + 3 + 7 = 18 , Which is divisible by 3.
Hence 837 is divisible by 3.

(3)Test of divisibility by 4: A number is divisible by 4 , if the number formed by its last two digit ( ones and tens) is divisible by 4.
For example: Test the divisibility 97312 by 4.
The number formed by its last two digits is 12, Which is divisible by 4.
Hence 97312 is divisible by 4.

(4) Test of divisibility by 5: A number is divisible by 5, if its unit digit is 0 or 5.
For example: Test the divisibility by 5 of 26425 and 3580 .
In given numbers unit digit is 5 and 0 .
Hence given numbers is divisible by 5 .

(5) Test of divisibility by 6: A number is divisible by 6, if it is divisible by each one of 2 and 3 .
For example: Test the divisibility of 6 by 7512.
Unit digit is 2.
Sum of digits = 7+5+1+2 = 15, which is divisible by 3.
Hence given number is divisible by 6.

(6) Test of divisibility by 8:

NOTE - ALL QUESTIONS ARE COMPULSORY.

(1) Which of the following numbers are divisible by 2 ?
(a) 5694 (b) 7358 (c) 2890 (d) 1989 (e) 289

(2) Which of the following numbers are divisible by 3 ?
(a) 1395 (b) 26412 (c) 16347 (d) 31547 (e)37401

(3) Which of the following numbers are divisible by 4 ?
(a) 1056 (b) 2360 (c) 16338 (d) 24842 (e) 7130

(4) Which of the following numbers are divisible by 5 ?
(a) 1980 (b) 1895 (c) 3206 (d) 9915 (e) 27905

(5) Write all the even number between:
(a) 73 and 87 (b) 519 and 531 (c) 91 and 111

(6) Write all the odd numbers between:
(a) 64 and 80 (b) 624 and 640 (c) 70 and 81

(7) Separate even and odd numbers :
(a) 25 (b) 34 (c) 85 (d) 124 (e) 905 (f) 258

(8) Write all the factors of 28 .

(9) Write all the factors of 60 .

(10) Write all the factors of 45 .
 

Multiple Choice Questions

Question. ________ are the numbers which are multiplied together to get another number.
(a) Factors
(b) Multiples
(c) Product
(d) Difference
Answer : A

Question. A ________ is a diagram which is used to break down a number by dividing it by its factors until all the numbers left are prime numbers.
(a) factor tree
(b) product tree
(c) maths tree
(d) multiplication tree
Answer : A

Question. ________ is the factor of every number.
(a) 0
(b) 1
(c) 2
(d) 3
Answer : B

Question. Every number is the ________ factor of itself.
(a) greatest
(b) smallest
(c) equal to
(d) less than equal to
Answer : A

Question. The factors of any number are ________ the number.
(a) equal to or less than
(b) equal to or greater than
(c) equal to
(d) less than
Answer : A

Question. We can find factors by ________.
(a) multiplication
(b) division
(c) multiplication & division
(d) addition
Answer : C

Question. When we divide one number by another and there is no remainder, the divisor & the quotient are the ________ of the first number.
(a) factors
(b) multiples
(c) product
(d) answer
Answer : A

Question. Pick the odd one out.
(a) 2
(b) 4
(c) 6
(d) 7
Answer : D

Question. Every number except 1 has at least ________ factors.
(a) 2
(b) 3
(c) 4
(d) 5
Answer : A

Question. A ________ is a number that is the product of a given number and some other number.
(a) multiple
(b) factor
(c) product
(d) factor tree
Answer : A

Question. A multiple is basically a ________.
(a) time table
(b) factor tree
(c) product tree
(d) division table
Answer : A

Question. We can find the ________ of a number by multiplying it by 1,2,3,4, and so on.
(a) factors
(b) multiples
(c) products
(d) sum
Answer : B

Question. Pick odd one out.
(a) 3
(b) 6
(c) 9
(d) 10
Answer : D

Question. Every multiple of a number is ________ the number itself.
(a) greater than or equal to
(b) less than or equal to
(c) greater than
(d) less than
Answer : A

Question. There is no end to the ________ you can get of a particular number.
(a) multiples
(b) factors
(c) product
(d) sum
Answer : A

Question. 56 is a ________ of 8.
(a) factor
(b) multiple
(c) product
(d) difference
Answer : B

Question. The common factors of 56 & 44 are ________. (2008, Mental Mathematics)
(a) 1, 2, 4.
(b) 1, 2, 11.
(c) 1, 8.
(d) 2.
Answer : A

Question. Is 6 a factor of 78 ?
(a) Yes
(b) No
(c) May be
(d) May not be
Answer : A

Question. How many factors do prime numbers have?
(a) 0
(b) 1
(c) 2
(d) 3
Answer : C

Question. If 6 × 5 = 30, then 6 and 5 are
(a) addends
(b) divisor
(c) factors
(d) none of these
Answer : C

Question. Which pair of numbers has a greatest common factor 1?
(a) 7 and 20
(b) 3 and 45
(c) 15 and 18
(d) 4 and 16
Answer : A

Question. What is the seventh multiple of 9?
(a) 45
(b) 54
(c) 63
(d) 72
Answer : C

Question. Which list shows the first five multiples of 7?
(a) 7, 8, 9, 10, 11
(b) 7, 9, 11, 13, 15
(c) 7, 14, 21, 28, 35
(d) 7, 49, 343, 2,401, 6,807
Answer : C

Question. Which list contains all prime numbers?
(a) 1, 7, 13, 29
(b) 2, 13, 27, 41
(c) 5, 11, 29, 31
(d) 6, 18, 21, 50
Answer : C

Question. Which number is neither a prime number nor a composite number?
(a) 3
(b) 5
(c) 1
(d) 2
Answer : C

Question. Which of the following pairs of numbers are co-primes?
(a) (11, 111)
(b) (22, 222)
(c) (12, 36)
(d) (14, 50)
Answer : A

Question. Match the following :

     A   B   C    D
(a) 4   1    2    3
(b) 4   1    3    2
(c) 1   4    2    3
(d) 4   3    2    1
Answer : A

Question. Which number completes the puzzle?

(a) 23
(b) 19
(c) 21
(d) 20
Answer : B

Question. Fill in the blanks by choosing the correct option for the given factor tree of 120.

a) 12, 2, 2
(b) 12, 2, 3
(c) 2, 3, 1
(d) 1, 2, 3
Answer : B

Question. Directions (Qs. a to d) : Consider the following statements and choose the correct option.
Statement A : A number which has more than two factors is called a prime number.
Statement B : A number which has only two distinct factors, is called a composite number.
(a) Statement A is correct.
(b) Statement B is correct.
(c) Both are correct.
(d) Both are incorrect.
Answer : D

Question a. Statement A : If one of the two given numbers is a multiple of the other, the greater number is the L.C.M. of the given numbers.
Statement B : The Highest Common Factor of two or more given numbers is the greatest among all their common factors. (Tricky)
(a) Statement A is correct.
(b) Statement B is correct.
(c) Both are correct.
(d) Both are incorrect.
Answer : C

Question b. Statement A : The multiples of 8 are 16, 24, 32, 40, 48…. (Critical Thinking)
Statement B : The common multiples of 8 & 6 are 24 & 48.
(a) Statement A is correct.
(b) Statement B is correct.
(c) Both are correct.
(d) Both are incorrect.
Answer : C

Question c. Statement A : The H.C.F. is the greatest number which divides two or more numbers without a remainder. (Critical Thinking)
Statement B : The L.C.M. of two or more numbers is the smallest number which is divisible by each one of the given numbers.
(a) Statement A is correct.
(b) Statement B is correct.
(c) Both are correct.
(d) Both are incorrect.
Answer : C

Question d. Statement A : 30 is the smallest number which when divided by 10 and 15 leaves no remainder.
Statement B : 4 is the largest number that divides 12 and 20 without a remainder.
(a) A is correct.
(b) B is correct.
(c) Both are correct.
(d) Both are incorrect.
Answer : C

Please click the below link to access CBSE Class 5 Mathematics Worksheet- Factors and Multiples