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Chapter 1: Q.938 (page 190)

In the following exercises, find the prime factorization.

2475

Short Answer

Expert verified

Prime factorization of 2475 is3脳3脳5脳5脳11.

Step by step solution

01

Step 1. Given information. 


We have given number is, 2475.

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 2475,

On the unit place of 2475 we have 5 so this number is divisible by 5 and we will get,

2475=5脳495

On the unit place of 495 we have 5 so its number is divisible by 5.

2475=5脳5脳99

We can factor the 99 like as 9 x 11 and we know that prime factorization of 9 is 3 x 3 and we can not factor 11 ahead.

So prime factorization of 2475 is 2475=3脳3脳5脳5脳11

04

Step 4. Conclusion. 

Hence, prime factorization of 2475 is 3脳3脳5脳5脳11.

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