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Question

How many factors of 8000 are perfect squares? please expalin your answer.

Answer 1

First, find the prime factors:
8000 = 8 * 1000 = 2^3 * 10^3
10^3 = 2^3 * 5 ^3

Thus, the prime factors are 2 and 5, and 8000 can be written as 2^6 * 5^3.

Next, find the number of perfect squares you can make from those factors:
2^2, 2^2 * 2^2 = 4^2, 2^3 * 2^3 = 8^2, 5^2, 5^2 * 2^2 = 10^2

So your answer is:
4 (2^2), 16 (4^2), 64 (8^2), 25 (5^2), 100 (10^2).

Answer 2

look on the internet