Questions: Write 50 as a product of prime factors. 50=

Transcript text: Write 50 as a product of prime factors. \[ 50= \]

Solution

Solution Steps

Step 1: Identify the Smallest Prime Factor

To express 50 as a product of prime factors, we start by identifying the smallest prime number that divides 50. The smallest prime number is 2. Since 50 is even, it is divisible by 2.

Step 2: Divide by the Smallest Prime Factor

Divide 50 by 2:

\[ 50 \div 2 = 25 \]

So, we have:

\[ 50 = 2 \times 25 \]

Step 3: Factor the Remaining Number

Next, we need to factor 25. The smallest prime number that divides 25 is 5. Divide 25 by 5:

\[ 25 \div 5 = 5 \]

So, we have:

\[ 25 = 5 \times 5 \]

Step 4: Combine All Prime Factors

Now, combine all the prime factors:

\[ 50 = 2 \times 5 \times 5 \]

Final Answer

The prime factorization of 50 is:

\[ \boxed{50 = 2 \times 5^2} \]

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