{(X + 1) /3} + {(X+4)/ 5 = {(X-4)/4}
Answers
Answer:
x = -128/7
Step-by-step explanation:
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Answer:
Prime factorisation or complete factorisation of the given number is to express a given number as a product of prime factor.
When a number is expressed as the product of its prime factors, it is called prime factorization.
For example, 15 = 3 × 5. So, 3 and 5 are prime factors of 15.
HCF of two or more numbers can be obtained by prime factorization. To find the HCF by prime factorization, we first find all the prime factors of the given numbers and then find the product of all the common prime factors. The product is the HCF of the given numbers.
For example:
1. Find prime factorisation of 36.
Prime Factorisation
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Prime factorisation of 36 = 2 × 2 × 3 × 3.
= 2² × 3².
[Here two ways to solve factorisation one is tree factorisation method and the other one is by dividing.]
2. Find prime factorisation of 32.
Solution:
Tree Factorisation Method
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Prime factorisation of 32 = 2 × 2 × 2 × 2 × 2.
= 2⁵.
3. Find the HCF of 108 and 132 by prime factorization method.
Solution:
HCF of 108 and 132
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108 = 2 × 2 × 3 × 3 × 3
132 = 2 × 2 × 3 × 11
Thus, the HCF is 2 × 2 × 3 = 12
3. Find prime factorisation of 51.
Solution:
Tree Factorisation Method
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Prime factorisation of 51 = 3 × 17.
= 3¹ × 17¹
= 3 × 17.
4. Find prime factorisation of 57.
Solution:
Tree Factorisation Method
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Prime factorisation of 57 = 3 × 19
= 3¹ × 19¹
= 3 × 19.
5. Find prime factorisation of 60.
Solution:
Tree Factorisation Method
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Prime factorisation of 60 = 2 × 2 × 3 × 5.
= 2² × 3 × 5.
6. Find prime factorisation of 63.
Solution:
Tree Factorisation Method
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Prime factorisation of 63 = 3 × 3 × 7.
= 3² × 7.
7. Find prime factorisation of 72.
Solution:
Tree Factorisation Method
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Prime factorisation of 72 = 2 × 2 × 2 × 3 × 3.
= 2³ × 3².
8. Find prime factorisation of 75.
Solution:
Tree Factorisation Method
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Prime factorisation of 75 = 3 × 5 × 5.
= 3 × 5².
9. Find prime factorisation of 78.
Solution:
Tree Factorisation Method
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Prime factorisation of 78 = 2 × 3 × 13.
10. Find prime factorisation of 93.
Solution:
Tree Factorisation Method
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Prime factorisation of 93 = 3 × 31.
11. Find prime factorisation of 102.
Solution:
Tree Factorisation Method
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Prime factorisation of 102 = 2 × 3 × 17.
12. Find prime factorisation of 120.
Solution:
Tree Factorisation Method
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Prime factorisation of 120 = 2 × 2 × 2 × 3 × 5.
= 2³ × 3 × 5.
13. Find prime factorisation of 225.
Solution:
Tree Factorisation Method
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Prime factorisation of 225 = 3 × 3 × 5 × 5.
= 3² × 5².
14. Find prime factorisation of 243.
Solution:
Tree Factorisation Method
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Prime factorisation of 243 = 3 × 3 × 3 × 3 × 3.
= 3⁵.
15. Find prime factorisation of 360.
Solution:
Tree Factorisation Method
21Save
Prime factorisation of 360 = 2 × 2 × 2 × 3 × 3 × 5.
= 2³ × 3² × 5.