# Properties of cubes of natural numbers

can anyone please give me whole list of properties of cubes of natural numbers Media URL: http://youtu.be/J_8xZmMqCRA
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07:46 Thu 12th Apr 2012

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 http://youtu.be/J_8xZmMqCRA I'm reposting the link so we can look at it 07:46 Thu 12th Apr 2012 Your link lists quite a few for starters: (i) Cubes of all even natural numbers are even. (ii) Cubes of all odd natural numbers are odd. (iii) Cubes of numbers ending in digits 1, 4, 5, and 9 are the numbers ending in the same digit. (iii) Cubes of numbers ending in digits 2 ends in digit 8. (iv) Cubes of numbers ending in digits 8 ends in digit 2. (v) Cubes of numbers ending in digits 3 ends in digit 7. (vi) Cubes of numbers ending in digits 7 ends in digit 3. 07:50 Thu 12th Apr 2012 I had two number 3s in my list- there are 7 properties listed here. I'm sure a google search will throw up a longer list 07:51 Thu 12th Apr 2012 Cubes of numbers ending in 6 also end in 6. 07:54 Thu 12th Apr 2012 And of course that old favourite: for any integer n greater than or equal to 2, n³ can be represented as the sum of consecutive (positive) odd integers. 08:02 Thu 12th Apr 2012 cubes of all numbers ending in a zero will also end in a zero 08:03 Thu 12th Apr 2012 How old is your son and what level is he studying at? Maybe he is just expected to explore for himself by identifying some cube numbers and looking for patterns and properties. Here's an example. 1³ = 1 2³ = 8 = 3+5 3³ = 27 = 7+9+11 4³ = 64 = 13+15+17+19 5³ = 125 = 21+23+25+27+29 6³ = 216 = 31+33+35+37+39+41 13:34 Thu 12th Apr 2012 I must stop talking to myself online 07:06 Fri 13th Apr 2012 Well, I enjoyed working on this query but it'd be interesting to know whether our answers helped kpinky's son 18:45 Sun 15th Apr 2012

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## Properties of cubes of natural numbers

can anyone please give me whole list of properties of cubes of natural numbers http://youtu.be/J_8xZmMqCRA my child has got assignment for his academic year. can anyone please provide him a list of...