how much should be multiplied to 280 to get perfect square(prime factorizetion)
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If you factor 280 into prime numbers you get 10x28 which is 2 x 5 x 2 x 2 x 7, or 2^3 x 5 x 7.
To make each prime factor used an even number of times, you need 2^4 x 5^2 x 7 ^ 2.
Which is 16 x 25 x 49 = 19600.
The square root is just 2^2 x 5 x 7 which is 140.
Step-by-step explanation:
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2×5×7=70 must be multiplied to 280 to get a perfect square
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