QuestionQuestion 3
What is the procedure for prime factorization or how can prime factoring be organized? Use
Studdy Solution
STEP 1
1. Prime factorization involves expressing a number as a product of prime numbers.
2. The number to be factorized is a positive integer.
3. The process involves dividing the number by the smallest possible prime numbers.
STEP 2
1. Identify the smallest prime number.
2. Divide the number by the smallest prime number.
3. Repeat the division process.
4. Conclude when the number is fully factorized.
STEP 3
Identify the smallest prime number, which is .
STEP 4
Divide the given number by (the smallest prime number) and check if the division is exact (i.e., no remainder).
STEP 5
If the number is not divisible by , move to the next smallest prime number, which is , and repeat the division.
STEP 6
Continue dividing the result by the smallest possible prime numbers (e.g., ) until the result is a prime number itself.
STEP 7
Record each prime number used in the division as part of the factorization process.
STEP 8
Conclude the process when the remaining quotient is a prime number, indicating that the factorization is complete.
The procedure for prime factorization is thus organized by systematically dividing the number by the smallest prime numbers until the quotient is a prime number itself. The prime factors are the divisors used in this process.
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