Question

Find the least number by which the given number should be multiplied to get a perfect square number in each case find the number whose square is the resulting new number first 7623​

Answer 1

Answer:Step 1 : Find the prime factors of 7623

In the attachment, we have already found the prime factors of 7623. They are :-

7623 = 3 × 3 × 7 × 11 × 11

Step 2 : Find the common and uncommon factors

Common factors = 3 × 11

Uncommon factors = 7

Step 3 : Find the least number

Here, only 7, which is an uncommon factor, is not in a pair.

∴ The least number should the given number 7623 be multiplied to get a perfect square is  i.e. Option (B)

Step-by-step explanation:

Answer 2

Answer:

7 is the least number that should be multiplied with 7623

Step-by-step explanation:

first find out prime factorisation of 7623

7623= 3*3*7*11*11

then 3 and 11 can be paired- 3*11

but 7 is uncommon number

so 7 should be multiplied with 7623 = 7623*7=53361