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

Practice Questions

Q1
If the number 36 is expressed in terms of its prime factors, which of the following is correct?
  1. 2^2 * 3^2
  2. 2^3 * 3^1
  3. 3^2 * 4^1
  4. 6^2

Questions & Step-by-Step Solutions

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.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely