Use the unique factorization theorem to write the following integers in standard factored form. 3675

pancha3

pancha3

Answered question

2021-05-31

The following integers should be written using the unique factorization theorem to achieve standard factored form
3675

Answer & Explanation

Usamah Prosser

Usamah Prosser

Skilled2021-06-01Added 86 answers

Step 1 
Every number can be represented as a positive prime number with exponents, according to the unique factorization theorem.
Various prime numbers are 2,3,5,7,9,11,.. 
Step 2 
To determine whether a number is a factor or not, divide it by prime numbers, starting with the smallest.
3675=3×1225 
=3×5×245 
=3×52×49 
=3×52×7×7 
=3×52×72 
So, prime factorization of 3675 is 3×52×72.

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