Worksheet on Methods of Prime Factorization

Practice the questions given in the worksheet on methods of prime factorization.

1. Each of the following is the prime factorization of a certain number. Find the number.

(i) 2 × 5 × 7

(ii) 3 × 7 × 7

(iii) 2 × 7 × 13

(iv) 2 × 2 × 3 × 5

(v) 7 × 11 × 11

(vi) 5 × 5 × 7

(vii) 3 × 3 × 7

(viii) 2 × 3 × 3 × 7

(ix) 3 × 5 × 5 × 7

2. Find the prime factors by division method.

(i) 42

(ii) 95

(iii) 4

(iv) 94

(v) 28

(vi) 52

(vii) 40

(viii) 84


3. Find the prime factors by factor method.

(i) 30

(ii) 36

(iii) 5

(iv) 27

(v) 72

(vi) 56

(vii) 80

(viii) 96


4. Write the missing numbers in the factor trees.

Missing Numbers in Factor Trees


5. Determine the prime factorization by any method you like.

(i) 2

(ii) 86

(iii) 50

(iv) 68

(v) 74

(vi) 90

(vii) 88

(viii) 48

(ix) 81

(x) 42

(xi) 66

(xii) 45


6. Multiple Choice Questions (MCQ) on Prime Factorization:

     Tick (the correct option.


(i) Prime factorisation of 54 is:

(a) 2 × 27

(b) 2 × 3 × 9

(c) 54 × 1

(d) 2 × 3 × 3 × 3


(ii) 2 × 3 × 7 is the prime factorisation of

(a) 21

(b) 1237

(c) 237

(d) 42


7. Find the prime factorisation of the following numbers:

(i) 18

(ii) 34

(iii) 385

(iv) 45

(v) 52

(vi) 64

(vii) 390

(viii) 2520

(ix) 1210

(x) 1260

(xi) 1024

(xii) 2520


Worksheet on Prime Factorization


Answers for the worksheet on methods of prime factorization are given below.


Answers:

 

1. (i) 10

(ii) 147

(iii) 182

(iv) 60

(v) 847

(vi) 175

(vii) 63

(viii) 126

(ix) 525


2. (i) 2 × 3 × 7

(ii) 5 × 19

(iii) 2 × 2

(iv) 2× 47

(v) 2 × 2 × 7

(vi) 2 × 2 × 13

(vii) 2 × 2 × 2 × 5

(viii) 2 × 2 × 3 × 7


3. (i) 2 × 3 × 5

(ii) 2 × 2 × 3 × 3

(iii) 1 × 5

(iv) 3 × 3 × 3

(v) 2 × 2 × 2 × 3 × 3

(vi) 2 × 2 × 2 × 7

(vii) 2 × 2 × 2 × 2 × 5

(viii) 2 × 2 × 2 × 2 × 2 × 3


4. 

Missing Numbers in Factor Trees


5. (i) 1 × 2

(ii) 2 × 43

(iii) 2 × 5 × 5

(iv) 2 × 2 × 17

(v) 2 × 37

(vi) 2 × 5 × 9

(vii) 2 × 2 × 2 × 11

(viii) 2 × 2 × 2 × 2 × 3

(ix) 3 × 3 × 3 × 3

(x) 2 × 3 × 7

(xi) 2 × 3 × 11

(xii) 3 × 3 × 5


6. (d) 2 × 3 × 3 × 3

(ii) (d) 42


7. (i) 18 = 1 × 2 × 3 × 3

(ii) 34 = 1 × 3 × 13

(iii) 385 = 1 × 5 × 7 × 11

(iv) 45 = 1 × 3 × 3 × 5

(v) 52 = 1 × 2 × 2 × 13

(vi) 64 = 1 × 2 × 2 × 2 × 2 × 2 × 2 × 2

(vii) 390 = 2 × 3 × 5 × 13

(viii) 2520 = 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7

(ix) 1210 = 2 × 5 × 11 × 11

(x) 1260 = 1 × 2 × 2 × 3 × 3 × 5 × 7

(xi) 1024 = 1 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

(xii) 2520 = 1 × 2 × 2 × 2 × 3 × 3 × 5 × 7

You might like these




4th Grade Math Activities

From Worksheet on Methods of Prime Factorization to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More