In this page, finding square root using prime factorization, is introduced in a simple thought process.

*click on the content to continue..*

What are the factors of `26`?

- `1, 2, 13, 26`
- `1, 2, 13, 26`
- no factors

The answer is "`1, 2, 13, 26`"

What are the factors of `28`?

- `1,2,14,28`
- `1,2,4,7,14,28`
- `1,2,4,7,14,28`

The answer is "`1,2,4,7,14,28`"

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`".

What is the `sqrt(3600)`?

- `600`
- `60`
- `60`

The answer is "`60`".

Square root is a form of root. In roots, we learned to perform prime factorization to find the root.

`sqrt(3600)`

`=sqrt(2xx2xx2xx2xx3xx3xx5xx5)`

`=2xx2xx3xx5`

`=60`

**Finding Square Roots** : To find square root of a number, express the number in prime factors and group the factors.

eg: `sqrt(100)` `=sqrt(2xx2xx5xx5)` `=2xx5 =10`

Note: This method is suitable for finding square roots resulting in integers.

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