Question
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Tutor-Verified Answer
Answer
50 can be written as \( 2 \times 5^2 \).
Solution
1. Factorize 50:
\[
50 = 2 \times 25
\]
2. Factorize 25:
\[
25 = 5 \times 5 = 5^2
\]
3. Combine the factors:
\[
50 = 2 \times 5^2
\]
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Simplify this solution Bonus Knowledge
To break down the number 50 into its prime factors, we can start by dividing it by the smallest prime number, which is 2. Since 50 is even, we have: 50 ÷ 2 = 25 Now, we take 25 and factor it further. The smallest prime factor of 25 is 5: 25 ÷ 5 = 5 Finally, we can factor that last 5: 5 ÷ 5 = 1 Putting it all together, we find that 50 can be expressed as: 50 = 2 × 5 × 5, or in exponential form as 50 = 2 × 5².
