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Chapter 1: Q.943 (page 190)

In the following exercises, find the prime factorization.

252

Short Answer

Expert verified

Prime factorization of 252 is2脳2脳3脳3脳7.

Step by step solution

01

Step 1. Given information. 

We have given number is, 252.

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 252.

We have addition of digits 252 is 2 + 5 + 2 = 9 which is multiple of 3 so the number 252 is divisible by 3.

252=3脳84

Addition of digits of 84 is 8 + 4 = 12 which is multiple of 3 so the number 84 is divisible by 3.

252=3脳3脳28

On the unit place of 28 we have 8 so we can divide 28 by 2.

252=2脳3脳3脳14

On the unit place of 14 we have 4 so we can divide 14 by 2.

252=2脳2脳3脳3脳7

04

Step 4. Conclusion. 

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

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