If the number 36 is expressed in terms of its prime factors, which of the follow

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Question: If the number 36 is expressed in terms of its prime factors, which of the following is correct?

Options:

Correct Answer: 2^2 * 3^2

Solution:

The prime factorization of 36 is 2^2 * 3^2, as 36 = 2 * 2 * 3 * 3.

If the number 36 is expressed in terms of its prime factors, which of the following is correct?

If the number 36 is expressed in terms of its prime factors, which of the following is correct?

Step 1: Start with the number 36.
Step 2: Find the smallest prime number that divides 36. The smallest prime number is 2.
Step 3: Divide 36 by 2. 36 ÷ 2 = 18.
Step 4: Divide 18 by 2 again. 18 ÷ 2 = 9.
Step 5: Now, 9 cannot be divided by 2, so we move to the next prime number, which is 3.
Step 6: Divide 9 by 3. 9 ÷ 3 = 3.
Step 7: Divide 3 by 3. 3 ÷ 3 = 1.
Step 8: Now we have reached 1, which means we can stop. The prime factors we used are 2 and 3.
Step 9: Count how many times we used each prime factor. We used 2 two times and 3 two times.
Step 10: Write the prime factorization as 2^2 * 3^2.

Prime Factorization – The process of expressing a number as the product of its prime factors.