Prime Factorization

Hi, kids. By the end of this task, you will be able to

1. Define what prime factorization is, &
   
2. Use the factor tree method to find the prime factorization of any number.
   

Average online time: 20 min
Average offline time: 15 min

Let's review what prime factorization is. We can define it as the string of prime factors whose multiplication is the given number.

Let’s use a factor tree to find the prime factorization of 84.

Let's look at the last row, it only contains prime numbers. We have found the prime factorization of 84.

84 = 2 x 2 x 3 x 7

We can also write it down using exponents. The factor 2 repeats twice, so what do we do?



Let's check this out:


84 = 2 to the second power x 3 x 7


Your job is to pick up any number greater than 50 and post a comment including:

a) the prime factorization of the number

b) in case a prime number repeats twice or more, re-write the prime factorization using powers


See you around :)