Prime factorize the following using factor tree method:

66, 99, 20, 108, 37 and 450

3 answers

66 = 2*33 = 2 * 3 * 11

99 = 3 * 33 = 3 * 3 * 11

20 = 2*10 = 2 * 2 * 5
etc, boring
The prime factorization for 66: Prime factorization is writing a composite number as a product of its prime factors.

Sample A:

The prime factorization of 504 is 2^3 x 3^2 x 7.

In other words, it is a way of writing a product the long way.

Sample B:

The prime factorization of 30 is 2 x 3 x 5.

Your question:

The Prime Factorization of 66.

What is the biggest number that goes into 66 without a remainder?

How about 11?

11 x 6 = 66, right?

We cannot break down 11 anymore but it is one of our composite numbers that we used as a factor of 66.

What about 6?

What are the factors of 6?

How about 2 and 3?

Yes, 2 x 3 = 6.

We cannot break down 2 and 3 anymore.

Final answer: The prime factorization of 66 is: 2 x 3 x 11.

That's it!

Prime factorization of 99 is: To learn the prime factors of 99, find two numbers that multiply together to make 99, such as 9 and 11. Eleven is a prime factor because it is only divisible by itself and 1, but 9 is not prime. Next, find two numbers that multiply together to make 9, such as 3 times 3. Since 3 is prime, all the prime factors have been found.

Answer : 22 • 5. 20 is NOT a prime number.

I don't have enough room to work out 108, 37 and 450.
22 x 5 = 99.
20 is not a prime number.
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