Write the prime factorization of 200. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Question
Write the prime factorization of 200. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Solution
Sure, here is the prime factorization of 200:
Step 1: Start by finding the smallest prime number (which is 2) that can divide 200.
Step 2: Divide 200 by 2, which gives you 100.
Step 3: Continue with the division by 2, which gives you 50.
Step 4: Divide again by 2, which gives you 25.
Step 5: Now, 25 cannot be divided by 2, so we move to the next prime number, which is 3. But 25 cannot be divided by 3 either.
Step 6: The next prime number is 5. 25 divided by 5 gives you 5.
Step 7: Finally, divide 5 by 5, which gives you 1.
So, the prime factorization of 200 is 2^3 * 5^2.
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