Chapter 1 Real Numbers
Express each number as product of its prime factors:
i 140
ii 156
iii 3825
iv 5005
v 7429
Solution:
Concept Insight: Since the given number needs to be expressed as the product of prime
factors so in order to solve this problem knowing prime numbers is required. Do not forget to put
the exponent in case a prime number is repeating.
Question 2
Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF product of
the two numbers.
i 26 and 91
ii 510 and 92
iii 336 and 54
Solution:

slide 2:

Concept Insight: HCF is the product of common prime factors raised to least power while LCM
is product of prime factors raised to highest power. HCF is always a factor of the LCM.
Do not skip verification product of two numbers HCF x LCM as it can help in cross checking
the answer.

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