What is the prime factorization of 48?
A2 times 2 times 2 times 3 times 3
B2 times 2 times 3 times 3 times 3
C2 times 3 times 3 times 3 times 3
D2 times 2 times 2 times 2 times 3
Answer & Solution
Correct answer: D. 2 times 2 times 2 times 2 times 3
1. Break 48 into two factors, such as 6 and 8, and keep splitting any factor that is not prime.
2. Splitting 6 gives 2 and 3, and splitting 8 gives 2 and 4, then 4 splits into 2 and 2.
3. Circling every prime that appears leaves four 2s and one 3.
4. Multiplying those circled primes, 2 times 2 times 2 times 2 times 3, gives back 48.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_
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