Question
Write 100 as a product of prime factors. In your answer, write each prime factor that appears more than once using an exponent.
Ask by Ball Marshall. in the United States
Jan 30,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(100 = 2^2 \times 5^2\)
Solution
\(100 = 2^{2} \times 5^{2}\)
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
100 can be expressed as the product of prime factors by first breaking it down: 100 = 10 × 10 10 = 2 × 5 So, substituting back, we have: 100 = (2 × 5) × (2 × 5) This can be simplified to: 100 = 2² × 5² Thus, the prime factorization of 100 is \(2^2 \times 5^2\).