Q: Is 45 an abundant deficient or perfect?

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deficient

it is perfect i believe the factors are 1,2,4,7,and 14

A perfect number is one with factors (apart from itself) that sum to give the original number. An abundant number is one where this sum is greater than the original number. A deficient number is one where the sum is less than the original number. The factors of 75 are 1, 3, 5, 15 and 25. The sum of these numbers is 49. Thus 75 is a deficient number.

To find out if a number is abundant, perfect or deficient, you first need to split it into its prime factors: 34 = 2x17 The next step would be to find any combinations, but as we have only 2 prime factors, those are the two we'll work with. You add these together, with 1, and get 20. When this sums to less than the original number it's a deficient number. 20 is less than 34, and so 34 is a deficient number.

First of all, to know if a number is abundant, deficient, or perfect, you need to know all the factors of your given number. The factors of 28 are 1,2,4,7,14, and 28. Add your proper factors -or the factors except itself- and determine if the sum of the proper factors is below (deficient), above (abundant), or the exact same amount (perfect). In this case, if you add the proper factors, it equals exactly 28. Because it is exact, it is perfect! =)

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