Q&A for How to Find Prime Factorization

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  • Question
    What is the prime factor of 47?
    Community Answer
    It's a prime number. It doesn't have a prime factorization. Only composite numbers (non-primes) have prime factorization.
  • Question
    How do I find the LCM of 60, 84, and 96 by prime factorization?
    Donagan
    Top Answerer
    60 = 2 x 2 x 3 x 5 = (2²)(3)(5). 84 = 2 x 2 x 3 x 7 = (2²)(3)(7). 96 = 2 x 2 x 2 x 2 x 2 x 3 = (2^5)(3). So the LCM would have as factors five 2's (from the 96), one 3 (from each of the numbers), one 5 (from the 60), and one 7 (from the 84). The LCM, then, is (2^5)(3)(5)(7) = 3,360. To check the answer, 3,360 is 60 x 56, 84 x 40, and 96 x 35. No number smaller than 3,360 is exactly divisible by 60, 84 and 96.
  • Question
    What is the prime factor of 32?
    Donagan
    Top Answerer
    32 = 2 x 2 x 2 x 2 x 2. 2 is a prime number. 2 is the prime factor of 32.
  • Question
    What is the prime factor of 60?
    Donagan
    Top Answerer
    60 has three prime factors: 2, 3, and 5. 60 = (2²)(3)(5).
  • Question
    What are the prime factors of 1296?
    Donagan
    Top Answerer
    The prime factors are 2 and 3. Specifically it is 2^4 multiplied by 3^4.
  • Question
    What is the factor of 63 in a factor tree?
    Donagan
    Top Answerer
    63 = 3² x 7.
  • Question
    What is the prime factorization of 42?
    Donagan
    Top Answerer
    42 = (2)(3)(7).
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