Answer :
Final answer:
Prime factorization involves expressing a number as the product of its prime factors. For the number 225, its prime factorization is 3x3x5x5. Therefore, the correct answer is C: 3 x 3 x 5 x 5.
Explanation:
The prime factorization of a number refers to expressing the number as the product of its prime factors. In the case of the number 225, its prime factors can be found by continually dividing by prime numbers (starting from the smallest i.e., 2, 3, 5, etc.) until we get 1.
You may start by dividing 225 by 2 but 225 is not divisible by 2. You then try 3 and find that 225 could be divided by 3. Continuing this process, we eventually find that the prime factorization of 225 is 3 x 3 x 5 x 5.
So, the correct answer is C: 3 x 3 x 5 x 5.
Learn more about Prime Factorization here:
https://brainly.com/question/33295472
#SPJ11
The correct option is C. The prime factorization of 225 is 3 x 3 x 5 x 5. This method helps in breaking down composite numbers into their prime components.
Prime Factorization of 225
The prime factorization of a number is the process of breaking it down into the set of prime numbers that, when multiplied together, give the original number. Let's find the prime factorization of 225 step by step:
- Start by dividing 225 by the smallest prime number, which is 3:
225 ÷ 3 = 75. - Now, divide 75 by 3:
75 ÷ 3 = 25. - Finally, divide 25 by 5:
25 ÷ 5 = 5, and once more:
5 ÷ 5 = 1.
So, the prime factors of 225 are 3, 3, 5, and 5. This can be written as 3 x 3 x 5 x 5. Therefore, the correct option is C. 3 x 3 x 5 x 5.
Understanding Prime Factorization
Prime factorization involves determining the prime numbers that multiply together to reach the original number. For instance, the expression 52 means multiplying 5 by itself, noted as '5 x 5'. Similarly, the prime factorization simplifies the understanding of composite numbers by highlighting their prime components.
