Find the Prime Factorization of 24 using the Factor tree Method
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Answer:
Continue this process until the value at the end of each branch is a circled prime number. The prime factorization is the product of the circled primes. So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.
Step-by-step explanation:
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To find:
Prime factorization of 24 using the factor tree method
Step-by-step explanation:
Refer to the given attachment for the factor tree.
- Step 1. Let us try dividing 24 by the smallest prime number 2. Here 24 ÷ 2 = 12 (remainder = 0). So 2 is a factor.
- Step 2. Let us try dividing 12 by the smallest prime number 2. Here 12 ÷ 2 = 6 (remainder = 0). So 2 is a factor.
- Step 3. Let us try dividing 6 by the smallest prime number 2. Here 6 ÷ 2 = 3 (remainder = 0). So 2 is a factor.
- Step 4. In Step 3, we see that 3 is also a factor of 24 because the last number is 3, which is a prime number.
Final answer:
The required prime factorization, 24 = 2 × 2 × 2 × 3.
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