151.

Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given numbers.

Using the factor tree for the prime factorization of
404 and 96, we have
404 = 2²× 101 and 96 = 2⁵ × 3

To find the HCF, we list common prime factors and their smallest exponent in 404 and 96 as under: Common prime factor = 2, Least exponent = 2
therefore, HCF = 2² =4

To find the LCM, we list all prime factors of 404 and 96 and their greatest exponent as follows:

Therefore,

LCM = 2⁵ x 3¹ x 101¹

 = 2⁵ x 3¹ x 101¹

 = 9696
Now, 

HCF x LCM = 9696 x 4= 38784
Product of two numbers = 404 x 96
Therefore, HCF x LCM = Product of two numbers.