Write the prime factorization of 22. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Question
Write the prime factorization of 22. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Solution
The prime factorization of 22 is done by dividing the number by prime numbers, starting from the smallest prime number, which is 2.
Step 1: Divide 22 by 2. The result is 11.
Step 2: Now, try to divide 11 by 2. It's not possible because 11 is not an even number.
Step 3: Move to the next prime number, which is 3. Try to divide 11 by 3. It's not possible because 11 is not a multiple of 3.
Step 4: Continue this process with the next prime numbers (5, 7, etc.) until you find a prime number that can divide 11. In this case, 11 is a prime number itself.
So, the prime factorization of 22 is 2 x 11. Since there are no exponents and the factors are already in order from least to greatest, we are done.
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