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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

Q: How can you tell if a number is abundant perfect or deficient?

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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.

A trinomial is perfect square if it can be factored into the form

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.

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.

Yes, 8100 = 90^2. As to if you want to know why. Maybe you just want to see how you can tell. A number a2b2 will equal (ab)2. So if any two perfect squares are multiplied together, the product is also a perfect square. With a = 9, and b = 10, then you have a2 = 81, and b2 = 100. And a2b2 = (ab)2 = 8100.

Related questions

Add up its proper factors. If that sum is less than 54, it's deficient.

If the number inside the radical is a perfect square or a ratio of perfect squares.

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.

The future perfect tense of tell is will have told.

If the whole number is a perfect square, its square root is rational. If not, it's not.

The future perfect tense is will have told.

A trinomial is perfect square if it can be factored into the form

tell him you think it's not fair how imperfect you feel around him... he'll get the hint. Or quote this "your perfect"

Can't tell because it is NOT true

No, food in general is not always abundant. There are plenty of places in the world that people are still starving every day.

Do you mean passive perfect? I can't tell if your talking about Latin or not.

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.