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Chapter 5: Problem 39

Find the prime factorization of each composite number. 1996

Short Answer

Expert verified
The prime factorization of 1996 is \( 2^2 \times 499 \).

Step by step solution

01

Start division from smallest prime number

Start by dividing the number 1996 by the smallest prime number, which is 2. Divide 1996 by 2, and the result is 998.
02

Continue division

Since 998 is even, divide it by 2. The result is 499.
03

Check if Result is Prime

499 is a prime number, therefore we can stop the prime factorization process since we cannot factorize the number any further.

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Most popular questions from this chapter

What is an arithmetic sequence? Give an example with your description.

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