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2 years ago

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

Mathematics

2 answers:

BaLLatris [955]2 years ago

8 0

Since 980÷2=490÷2=245÷5=49÷7=7÷7=1
980=2×2×5×7×7
the greatest perfect square will be
7*2*7*2
14*14=196

mrs_skeptik [129]2 years ago

7 0

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.

$980=2\times 2 \times 5\times 7\times 7$

$980=2^2\times 7^2\times 5$

$980=(2\times 7)^2\times 5$

$980=(14)^2\times 5$

$980=196\times 5$

This clearly means that 196 is the required factor.

Therefore, The greatest perfect square that is a factor of 980 is 196.

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