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2: 1, 2 (3) deficient

3: 1, 3 (4) deficient

4: 1, 2, 4 (7) deficient

5: 1, 5 (6) deficient

6: 1, 2, 3, 6 (12) perfect

7: 1, 7 (8) deficient

8: 1, 2, 4, 8 (15) deficient

9: 1, 3, 9 (13) deficient

10: 1, 2, 5, 10 (18) deficient

11: 1, 11 (12) deficient

12: 1, 2, 3, 4, 6, 12 (28) abundant

13: 1, 13 (14) deficient

14: 1, 2, 7, 14 (24) deficient

15: 1, 3, 5, 15 (24) deficient

16: 1, 2, 4, 8, 16 (31) deficient

17: 1, 17 (18) deficient

18: 1, 2, 3, 6, 9, 18 (39) abundant

19: 1, 19 (20) deficient

20: 1, 2, 4, 5, 10, 20 (42) abundant

21: 1, 3, 7, 21 (32) deficient

22: 1, 2, 11, 22 (26) deficient

23: 1, 23 (24) deficient

24: 1, 2, 3, 4, 6, 8, 12, 24 (60) abundant

25: 1, 5, 25 (31) deficient

26: 1, 2, 13, 26 (42) deficient

27: 1, 3, 9, 27 (40) deficient

28: 1, 2, 4, 7, 14, 28 (56) perfect

29: 1, 29 (30) deficient

30: 1, 2, 3, 5, 6, 10, 15, 30 (72) abundant

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โˆ™ 2016-04-02 22:10:17
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Q: What are the factors sum of the numbers 2-30 and classify each as perfect abundant or deficient?
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Related questions

Are there more deficient numbers than abundant and perfect numbers?

There are more deficient numbers.


Is number 11 an abundant and why?

No. All prime numbers are deficient.


Is 76 an abundant deficient or perfect?

Abundant, deficient and perfect numbers are determined by the sum of the proper divisors (or factors) of a number, which excludes the number itself. The factors of 76 are : 1,2,4,19,38,76 . . . after excluding the number itself the sum of the proper divisors is :- 1+2+4+19+38= 64 Deficient numbers occur when the sum of the proper divisors is less than the number itself. As 64 is less that 76 then it is deficient.


Is prime number an abundant number or deficient number?

All prime numbers are going to be deficient, because remember that a prime number's only factors are one and itself. To find if its deficient or abundant, you'd add up all of its factors, excluding itself. If its only other factor beside itself is one, that's obviously less than the number, and therefore it will be deficient.


Do you think there more perfect than deficient or abundant numbers?

The answer will depend on where "there" is.


Can an Abundant number be a prime number?

No, all prime numbers are deficient.


Are all deficient numbers odd numbers?

no, 945 is the first abundant odd number though


Is 75 perfect abundant or deficient?

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.


Is 63 a deficient number?

All odd numbers with one or two distinct prime factors are deficient. Since 3 and 7 are factors of 63, it must be deficient.


What is the difference of abundant deficient and perfect numbers?

Add together all the factors of a number, apart from itself. If the answer is less than the number, then it is deficient. If the answer is equal to the number, then it is perfect. If the answer is greater than the number, then it is abundant. The factors of 8 are 1, 2 and 4. 1+2+4 = 7 so 8 is deficient. The factors of 6 are 1, 2 and 3. 1+2+3 = 6 so 6 is perfect. The factors of 12 are 1, 2, 3, 4 and 6. 1+2+3+4+6 = 16 so 12 is abundant.


Is it possible for the sum of two deficient numbers to be an abundant number?

it depends on witch 2 numbers you want to add together


How do you classify numbers which have an odd number of factors?

A perfect square.

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