Chapter 1: Real Numbers

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Q
Real Numbers Solutions

Question:

Express each number as a product of its prime factors: (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Answer:

Solutions: 

(i) 140

We can use the following tree diagram to show the factors of 140.   

 

Hence, the product of prime factors of 140 is 2 x 2 x 5 x 7 = 2^{2} x 5 x 7

 

 

(ii) 156    

We can use the following tree diagram to show the factors of 156.

 

So, the product of prime factors of 156 is 2 x 2 x 3 x 13 = 2^{2} x 3 x 13

 

 

(iii) 3825  

We can use the following tree diagram to show the factors of 3825.         

 

Hence, the product of prime factors of 3825 is 3 x 3 x 5 x  5 x 17  = 3^{2} x 5^{2} x 17

 

(iv) 5005

We can use the following tree diagram to show the factors of 5005.         

 

 

Hence, the product of prime factors of 5005 is  5 x 7 x 11 x  13.

 

(v) 7429

We can use the following tree diagram to show the factors of 7429.

 

 

Hence, the product of prime factors of 7429 is 17 x 19 x 23 .

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