Answer:
The greatest perfect square that is a factor of 980 is 196.
Step-by-step explanation:
To find : What is the greatest perfect square that is a factor of 980?
Solution :
First we factor the number 980.
[tex]980=2\times 2 \times 5\times 7\times 7[/tex]
[tex]980=2^2\times 7^2\times 5[/tex]
[tex]980=(2\times 7)^2\times 5[/tex]
[tex]980=(14)^2\times 5[/tex]
[tex]980=196\times 5[/tex]
This clearly means that 196 is the required factor.
Therefore, The greatest perfect square that is a factor of 980 is 196.
We have that The Greatest perfect square of 980 is
x= 196
From the question we are told that
The greatest perfect square that is a factor of 980
Generally
Greatest perfect square
Where a perfect square is a number that is written to given the product of two identical Numbers
Therefore
Greatest perfect square of 980 is
x= 196
Where
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Therefore
The Greatest perfect square of 980 is
x= 196
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