This page provides a brief overview of *prime factorization of numbers*.

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What are the factors of `24`?

- `1,2,3,4,6,8,12,24`
- `1,2,3,4,6,8,12,24`
- `2,12`

The answer is "`1,2,3,4,6,8,12,24`"

Consider the number `24`. Factors of `24` are `1`, `2`, `3`, `4`, `6`, `8`, `12`, and `24`. In which of the following ways, the number is expressed as a product of some of the factors?

- `4xx6`
- `2xx4xx3`
- `3xx8`
- all the above and more like `2xx12`
- all the above and more like `2xx12`

The answer is "all the above and more".

Which of the following is a product of prime numbers?

- `2xx12`
- `2xx2xx6`
- `2xx2xx2xx3`
- `2xx2xx2xx3`
- `3xx8`

The answer is "`2xx2xx2xx3`". The number is represented as product of prime factors. This is called *prime factorization*.

**Prime Factorization** : A number represented as product of prime numbers.

Which of the following is the prime factorization of `264`? A procedure is illustrated in the figure.

- `2xx2xx2xx3`
- `2xx2xx2xx3xx11`
- `2xx2xx2xx3xx11`

The answer is "product of `2xx2xx2xx3xx11`".

Which of the following is the prime factorization of `17`?

- `1xx17`
- `17`
- `17`

The answer is "`17`".

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