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How to do Prime Factorization
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Prime Factorization Calculator
A prime factor is a prime number by which a given number is divisible and prime factorization is the process of getting prime numbers. This Calculator helps us to find the Prime Factors of a Number. This tool makes the Calculation very easy.
How to do Prime Factorization
Step 1:
Find the factors of the given number.
Step 2
: Identify the prime numbers from the factors, which will multiply and give the original number.
Step 3:
Write the given number as multiple of the prime numbers.
Prime Factorization Examples
The following are the example for prime factorization
Solved Examples
Question 1:
What is the prime factorization of 34?
Solution:
Step 1: find the factors for 34 : 1, 2, 17, 34
Step 2: prime factors for 34 : 2 and 17
$\therefore$ prime factorization of 34 : 2 x 17
Question 2:
What is the prime factorization of 28?
Solution:
Step 1: find the factors for 28 : 1, 2, 4, 7, 14, 28
Step 2: prime factors for 28 : 2 and 7
$\therefore$ prime factorization of 28 : 2 x 2 x 7
Question 3:
What is the prime factorization of 48?
Solution:
Step 1: find the factors for 48 :
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Step 2: prime factors for 48 : 2 and 3
$\therefore$ prime factorization of 48 : 2 x 2 x 2 x 2 x 3
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