Prime Factorization


 
 
Concept Explanation
 

Prime Factorization

Prime factorization or integer factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. This is also known as prime decomposition.

Illustration 1: Find the prime factors of 3,087 ?

Solution:

Prime Factors of 3,087 = 3 x 3 x 7 x 7 x 7

Illustration 2: Find the prime factors of 3,087 ?

Solution:

 

Prime Factors of 9,408 = 2 x 2 x 2 x 2 x 2 x 2 x 3  x 7 x 7

 

Illustration 3: Find the prime factors of 392 ?

Solution:

Prime Factors of 392 = 2 x 2 x 2 x 7 x 7

 

Sample Questions
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Question : 1

Express as a product of powers of their prime factors: 9408 

Right Option : C
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Explanation
Question : 2

Express the following numbers in exponential form: 1024

Right Option : B
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Explanation
Question : 3

Write the exponential form for 9 x 9 x 9 taking 3 as base. 

Right Option : C
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Explanation
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