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Chapter 1: Q.942 (page 190)

In the following exercises, find the prime factorization.

168

Short Answer

Expert verified

The prime factorization of 168 is2脳2脳2脳鈥�3脳7.

Step by step solution

01

Step 1. Given information. 

We have given number is, 168.

02

Step 2. Concept used. 


Prime factorization is a way of expressing a number as a product of its prime factors.

03

Step 3. Explanation. 

We have given number is 168.

Addition of the digits of 168 is 1 + 6 + 8 = 15 its multiple of 3 so the number 168 is divisible by 3.

168=3脳56

On the unit place of 56 is 6 so the number 56 is divisible by 2.

168=2脳3脳28

On the unit place of 28 is 8 so the number 28 is divisible by 2.

168=2脳2脳3脳14

On the unit place of 14 is 4 so the number 14 is divisible by 2.

168=2脳2脳2脳3脳7

04

Step 4. Conclusion. 

Hence, prime factorization of 168 is2脳2脳2脳3脳7.

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