the perfect numbers are:
*6
*28
*496
the sums are to make 6
1 + 2 +3=6 1,2,3 are the factors of 6
1 + 2 + 4 + 7 + 14 = 28 1,2,4,7 & 14 are the factors of 28
4 + 2 + 1 + 8 + 16 + 31 + 62 + 31 + 62 +124 +248=496
By definition, ALL perfect squares are whole numbers!
6 and 28 are perfect numbers.
There are 48 different numbers that are considered to be perfect numbers. The perfect numbers that are up to 100 include 6 and 28.
All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.
6 and 28
There are infinitely many perfect numbers so they cannot all be listed.
By definition, ALL perfect squares are whole numbers!
No. The only perfect numbers less than 100 are 6 and 28. All known perfect numbers are even - it is unknown whether there are odd perfect numbers.
All compound numbers that are not perfect squares.
The perfect numbers less than 100 are 6 and 28.
No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
Yes.
101
6 and 28
All their roots are whole numbers.
1501
No. Perfect square numbers have an odd number of factors.