Q:
# What Is the Prime Factorization of 65?

**The prime factorization of 65 is 5 x 13.** Five and 13 are not just the only prime factors of 65, but they are also the only factors of this number other than 1 and 65. A prime number is one that has no factors other than itself and 1.

To find the prime factorization of a number, first write down all the factors of the number excluding 1 and the number itself. Next, factorize any nonprime factors into their prime factors. For example, the number 12 can be factorized as 3 x 4. To find the prime factorization of 12, one would then need to factorize 4 into its prime factors, which is 2 x 2. The prime factorization of 12 is therefore 2 x 2 x 3.

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Q:
## What Is the Prime Factorization of 700?

A: The prime factorization of the number 700 is 7 x 5 x 5 x 2 x 2. Using exponents, it is expressed as 2^2 x 5^2 x 7. A prime number is a number only divisibl... Full Answer >Filed Under: -
Q:
## What Is the Prime Factorization of 200?

A: The prime factorization of 200 is 2 x 2 x 2 x 5 x 5, which is written using exponents as 2^3 x 5^2. Prime factorization involves finding the prime numbers ... Full Answer >Filed Under: -
Q:
## What Is the Prime Factorization of 60?

A: The prime factorization of 60 is 2 x 2 x 3 x 5. The prime factorization of any number is the set of prime numbers that multiplied together equals the origi... Full Answer >Filed Under: -
Q:
## What Is the Prime Factorization of 81?

A: The prime factorization of 81 is 3 x 3 x 3 x 3, or 3 ^ 4. Prime factorization of a number involves finding the prime numbers that, when multiplied together... Full Answer >Filed Under: