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Express 2431 as a product of its prime factors.

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Question

Express 2431 as a product of its prime factors.

Sum
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Solution

Given: 2431

Step-wise calculation:

1. Test divisibility by 11: 

(1 + 4) – (3 + 2)

= 5 – 5 

= 0

So, 2431 is divisible by 11.

Hence, 2431 = 11 × 221.

2. Factor 221:

Small primes; 221 ÷ 13 = 17

So, 221 = 13 × 17. 

Thus, 221 factors as 13 × 17.

2431 = 11 × 13 × 17 all factors prime.

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Chapter 1: Real Numbers - EXERCISE 1B [Page 16]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
EXERCISE 1B | Q 3. | Page 16
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