Knowee
Questions
Features
Study Tools

Find the number of prime factors of 144.Options1 2   3 4

Question

Find the number of prime factors of 144.Options1 2   3 4

🧐 Not the exact question you are looking for?Go ask a question

Solution

The prime factorization of 144 is 2^4 * 3^2.

Step 1: Start by dividing the number by the smallest prime number, which is 2. 144 divided by 2 is 72.

Step 2: Continue this process. 72 divided by 2 is 36. 36 divided by 2 is 18. 18 divided by 2 is 9.

Step 3: Now, 9 cannot be divided evenly by 2, so we move on to the next prime number, which is 3. 9 divided by 3 is 3. 3 divided by 3 is 1.

Step 4: Once we reach 1, we have found all the prime factors.

So, the prime factors of 144 are 2, 2, 2, 2, 3, and 3.

Therefore, the number of prime factors of 144 is 6.

So, none of the options 1, 2, 3, 4 is correct.

This problem has been solved

Similar Questions

For the number 1440, find the total number of factors.

For the number 1440, find the number of factors which are divisible by 5.12141618None of the above

Find the number of factors of 24?Options :41068

Find the number of co-primes to the number 144, that are less than the number itself?*1 point48326456

Find the prime factors of each of the numbers.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.