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Chapter 1: Q 51. (page 19)

Find Prime Factorizations and Least Common Multiples

In the following exercises, find the prime factorization.

132

Short Answer

Expert verified

The prime factorization of132is2脳2脳3脳11

Step by step solution

01

Step 1. Given Information

The given digits are132

02

Step 2. Prime Factorizations and Least Common Multiples  

The given number is132

To get the prime factorization, decompose the number in to prime factors by dividing the number, begin with the smallest prime number2:

1322=66

As, 66is not a prime number or a decimal, it can be divided further by 2:

662=33

Notice that the number 33is an odd number thus it cannot be divided by 2.Hence, Choose the next prime number which is 3.

Find the factor by dividing by 3is 333=11

Notice that the number 11is a prime number which cannot be decomposed further into factors

Thus, the prime factorization of 132is 2脳2脳3脳11

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