Use the unique factorization theorem to write the following integers in standard factored form. 1617

York

York

Answered question

2021-05-26

Use the unique factorization theorem to write the following integers in standard factored form.
1617

Answer & Explanation

Alannej

Alannej

Skilled2021-05-27Added 104 answers

Unique Factorization Theorem. 
For every integer n>1, different prime numbers and a positive integer k exist.
p1,p2,p3,....,pk and positive integers such that, 
n=p1e1p2e2...pkek 
Do the number's prime factorization.
1,617 can be divided by 3. 
1617=3×539 
539 can be divided by 7. 
1617=3×539 
=3×7×77 
77 can be divided by 7. 
1617=3×539 
=3×7×7×11 
=3×72×11 
Hence, the factorization of 1617 is 3×72×11.

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