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Chapter 1: Q.941 (page 190)

In the following exercises, find the prime factorization.

72

Short Answer

Expert verified

Prime factorization of 72 is2脳2脳2脳3脳3.

Step by step solution

01

Step 1. Given information.  


We have given number is, 72.

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. 

Here we have given number is 72,

On the unit place of 72 we have 2 so the number 72 is divisible by 2.

72=2脳36

On the unit place of 36 is 6 so the number 36 is divisible by 2.

72=2脳2脳18

On the unit place of 18 we have 2 so the number 18 is divisible by 2.

72=2脳2脳2脳9

The number 9 is multiple of 3 so the number 9 is divisible by 3.

72=2脳2脳2脳3脳3

04

Step 4. Conclusion. 

Hence, the prime factorization of 72 is2脳2脳2脳3脳3.

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