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- Prime Factorization Calculator

This calculator will find the prime factorization of the given number. Also it will determine
whether or not a number is prime. **Step-by-step explanations are provided.**

examples

example 1:

What are the prime factors of 70 ?

example 2:

What are the prime factors of 18240 ?

example 3:

Is the number 527 prime or composite?

example 3:

Is the number 1361 prime or composite?

"Prime Factorization" is finding which **prime** numbers we need to multiply to get the original number.

**Example:**

*Find the prime factorization of 60.*

To find prime factorization of 60 start with the smallest prime number that divides 60, in this case 2.

**60 ÷ 2 = 30**

Now find smallest prime number that divides 30 (again we use 2)

**30 ÷ 2 = 15**

15 is divisible with 3, so we have:

**15 ÷ 3 = 5**

5 is divisible with 5, so the prime factorization of 60 is:

**2 x 2 x 3 x 5**

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