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Question

Question 91

Solve the following question:

Using prime factorization, find which of the following are perfect squares.

a) 484
b) 11250
c) 841
d) 729


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Solution

a) Prime factors of 484 =(2×2)×(11×11)
As grouping, there is no unpaired factor left over.
248422421112111111
So, 484 is a perfect square.

b) Prime factors of 11250 =2×(3×3)×(5×5)×(5×5)
As grouping, 2 has no pair.
211250356253187556255125525551
So, 11250 is not a perfect square.

c) Prime factors of 841 =(29×29)
2984129291
As grouping, there is no unpaired factor left over.
So, 841 is a perfect square.

d) Prime factors of 729 =(3×3)×(3×3)×(3×3)
As grouping, there is no unpaired factor left over.
3729324338132739331
So, 729 is a perfect square.


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