Question
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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

\(100 = 2^{2} \times 5^{2}\)

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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 \(2^2 \times 5^2\).

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