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400 can be factored as 24 * 52, or 22 * 22 * 52. A perfect square factor of 400 will always have an even exponent, so here is a list:

12, 22, 42, 52, 102, and 202.

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Q: Number of factors of 400 that are perfect squares?
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Related questions

What are the perfect squares of 1 and 20?

1 and 400.


Which is a perfect square 400 900 2400?

400 and 900 are squares of 20 and 30, respectively.


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Ralph likes 25 but not 24 he likes 400 but not 300 he likes 144 but not 145?

Ralph likes numbers that are perfect squares but not numbers that are one less than a perfect square. Perfect squares are numbers that can be expressed as the product of an integer multiplied by itself (e.g. 25 = 5 x 5, 400 = 20 x 20, 144 = 12 x 12). Numbers that are one less than a perfect square do not fit this pattern (e.g. 24, 300, 145). Ralph's preference seems to be for the neat, symmetric nature of perfect squares.


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John likes 400 but not 300 he likes 100 but not 99 he likes 3600 but not 3700 Which does he like?

John likes numbers that are perfect squares. 400 is 20 squared, 100 is 10 squared, and 3600 is 60 squared. He doesn't like 300, 99, or 3700 because they are not perfect squares. So, there you have it, John has a thing for those perfect squares!


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it is 400 the numbers that go in it are 1,2,4,5,8,10,20,40,50,80,100,200,400