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Find the sum of the proper divisors of that number.
- a perfect number equals the sum of its proper divisors
- a deficient number is greater than the sum of its proper divisors
- an abundant number is less than the sum of its proper divisors
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How can I tell whether a number is a square number?
You can tell whether a number is a square number by looking at the last digit. A perfect square number ends with either 1, 4, 5, 6, 9 or 00.
How can you tell if a trinomial is a perfect square?
A trinomial is perfect square if it can be factored into the form
How can you tell if a number is a perfect square?
One way is to get the prime factorization of the number. If every prime occurs an even number of times, it is a square, otherwise, not. Another is to estimate the square root of the number, and square it. If you get more than the number, try a lower estimate; if less, a higher one. Using interval bisection you very quickly zero in on the square root, if it is a whole number. If so, the number is a perfect square. Otherwise, you find 2 consecutive whole numbers between which is the square root, in which case it is not a perfect square.
How can you tell the value of a radical is not a rational number?
It is not easy. If the value is rational then you must be able to express the value under the radical sign as p2/q2 where p and q are integers and q is non-zero. If not, then the number is irrational.It is not enough to require that for a rational, the number under the radical must be a perfect square since sqrt(2.25) is rational even though 2.25 is not a perfect square.
Why is 16 a perfect square?
16 is a perfect square because you can arrange exactly 16 balls or matches or circles in a square with equal sides. Refer to the diagram below.* * * ** * * ** * * ** * * *See the sides. There are exactly 4 stars on each of the sides. 4 x 4 = 16. That is how you can tell if something is a square number. 1 x 1 = 1. 2 x 2 = 4 and so on. Any number which you can arrange into a perfect square is a square number. That is why they are called square numbers int eh first place.
