What is Prime Factorization
Maths Questions Answers
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Class - VIII - Maths:- INDEX
1. Squares & Square Roots2. Cubes & Cube Roots
3. Exponents & Radicals
4. Profit Loss & Discount
5. Compound Interest
6. Algebraic Identities
7. Polynomials
8. Linear Equations
9. Parallel Lines
10. Types of Quadrilaterals
11. Construction of Quadrilaterals
12. Circles
13. Areas
14. Surface Areas
15. Volumes
16. Statistics
Class - VIII - Maths
Important (1) If in Question 7 & 8, all number are in pair and there is no number left out, then divide it or multiplied it by "1" -You may find '1' as option specially in multiple choice question.
Similarly in case of add / subtract, you may find a answer as '0'
Question Type 6 - Find the square root by prime factorization -
625 , 3600 , 1156 , 30625
Answer - 6- Do the factors in pair, like 2*2 ; 3*3 etc. and then take the one number from the pair and multiply.
(i) 625= 5*5*5*5 therefore Square Root = 5*5=25
(ii) 3600= 2*2*2*2 *5*5*3*3 therefore Square Root = 2*2*5*3=60
(iii) 1156= 2*2*17*17 therefore Square Root = 2*17=34
(iv) 30625= 7*7*5*5 *5*5 therefore Square Root = 7*5*5=175
Question Type - 7 - Find the smallest number with which 3528 must be multiplied so that product becomes a perfect square.
Also find the square root of perfect square.
Answer - 7- Make the factors and pair the number. The number which does not have pair is the smallest number to be multiplied.
3528=3*3*2*2*7*7*2
Now one '2' is not having a pair, therefore it is to be multiplied by 2 to make it square.
The square root will be (take one number from each pair & the left out number)
3*2*7*2 =84 is square root
(Cont..... to page 6 )
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What is Prime Factorization (Page 5/10)
(Contiued from page 4 )Important (1) If in Question 7 & 8, all number are in pair and there is no number left out, then divide it or multiplied it by "1" -You may find '1' as option specially in multiple choice question.
Similarly in case of add / subtract, you may find a answer as '0'
Question Type 6 - Find the square root by prime factorization -
625 , 3600 , 1156 , 30625
Answer - 6- Do the factors in pair, like 2*2 ; 3*3 etc. and then take the one number from the pair and multiply.
(i) 625= 5*5*5*5 therefore Square Root = 5*5=25
(ii) 3600= 2*2*2*2 *5*5*3*3 therefore Square Root = 2*2*5*3=60
(iii) 1156= 2*2*17*17 therefore Square Root = 2*17=34
(iv) 30625= 7*7*5*5 *5*5 therefore Square Root = 7*5*5=175
Question Type - 7 - Find the smallest number with which 3528 must be multiplied so that product becomes a perfect square.
Also find the square root of perfect square.
Answer - 7- Make the factors and pair the number. The number which does not have pair is the smallest number to be multiplied.
3528=3*3*2*2*7*7*2
Now one '2' is not having a pair, therefore it is to be multiplied by 2 to make it square.
The square root will be (take one number from each pair & the left out number)
3*2*7*2 =84 is square root
(Cont..... to page 6 )
© funandhobby.com ( What is Prime Factorization)