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Which is the prime factorization of 540?

Question

Which is the prime factorization of 540?

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Solution

Sure, here are the steps to find the prime factorization of 540:

  1. Start by dividing the number by the smallest prime number, which is 2. 540 ÷ 2 = 270.
  2. Repeat the process with the quotient. 270 ÷ 2 = 135.
  3. Now, 135 is not divisible by 2, so we move on to the next prime number, which is 3. 135 ÷ 3 = 45.
  4. Repeat the process with the quotient. 45 ÷ 3 = 15.
  5. Repeat the process again. 15 ÷ 3 = 5.
  6. Now, 5 is a prime number itself, so our process stops here.

So, the prime factorization of 540 is 2^2 * 3^3 * 5.

This problem has been solved

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