SOLUTION: Hi can you please help me with these two problems- what is the difference between the sum of the cubes and that of squares of thefirst 10 natural numbers? and How many distint f

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Question 730348: Hi can you please help me with these two problems-
what is the difference between the sum of the cubes and that of squares of thefirst 10 natural numbers?
and
How many distint factors of 1600 are perfect cubes?

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Your first problem is just a bunch of arithmetic. You can do your own arithmetic.

Calculate the first 11 perfect cubes, 1 cubed, 2 cubed, 3 cubed...and so on. Stop at 11 because 12 cubed is larger than 1600. Divide each of these perfect cubes into 1600. Count the number of them that divide 1600 evenly.

John

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