What is the greatest perfect square that is a factor of 980?

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.