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Do you add 10 twice when adding the factors of 100 to determine if 100 is an abundant number?
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What makes a number high in factors?
You determine it by the denominator.
Does a perfect square number have and even or odd number of distinct factors show how you determine your answer?
Odd. I determined my answer by looking at the number of factors of a square number.
Can you describe a number by both the number of its factors and the kinds of its factors?
There are more than just prime and composite, there are 3 other types which you can describe a number by the kind of factors. They are abundant number, deficient number, and perfect number. An abundant number is a number which if its factors were all added up , the sum would be greater than the number itself. A deficient number is a number in which if all its factors were added up the sum would be less than the number itself. A perfect number is in which a numbers factors are added up and the sum will be the same number as the number itself. Example of abundant number: 12 because these are its factors, 1+2+3+4+6 which equals 16 and 16 is greater than 12. Example of a deficient number: 15 because 15's factors are 1+3+5 which equals 9 and 9 is less than 15. Example of a perfect number: 6 because 6's factors are 1+2+3 which equals 6 and 6 is the same as 6
Which factors can help you determine the number of possible solution to consider?
experience and time available
Can you predict the number of factors of any number by writing the prime factorization using exponents then adding one to the exponent and then finding the products of these numbers?
Yes.
How do you find out if a number is abundant?
Use the definition of "abundant": by adding up all of its factors.
If a number has a lot of factors does that mean it's an abundant number?
Probably, but that's not the reason. An abundant number is less than the sum of its proper factors.
What is an abundant number?
There are three equivalent definitions for an abundant number.A number is abundant if:the sum of all its factors (including itself) is more than double the number;the sum of all factors of the number which are smaller than the number, must be more than the number;the sum of all proper factors of the number must be at least as large as the number.
What is abundant factors?
In number theory, an abundant number is a number for which the sum of its proper divisors is greater than the number itself.
How is 28 the perfect 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! =)
What does abundant mean in math?
An abundant number means its proper factors add up to more than that number.
Is 87 an abundant number?
Since the sum of the proper factors of 87 is only 33, 87 is not an abundant number.
What does abundant mean in proper factors?
an abundant number is less than the sum of its proper divisors
Is the number 16 an abundant number?
Yes, the number 16 is an abundant number because the sum of its proper divisors (1, 2, and 4) is greater than the number itself (16).
How do you know if a number is abundant or deficiant?
First to be able to find an abundant number you have find all the factors of any number. Then add them all up. If the total is bigger than the number you found out the factors of then it is an abundant number and if the total is less than the number you found out the factors for it is a deficiant number and finally if the total is the same number as the one you found out the factors for it is called a perfect number. Thanks for learning from me. I hope you have understood what i have typed. Bye!
Is the number 18 abundant?
An Abundant Number is one that the factors (other than itself) add up to more than the number. 18 factors into [2 3 3] so the factor list is {1 2 3 6 9 18} and the sum of the rest is 21. Since 21 is greater than 18, it is an abundant number.Yes 18 is an abundant number because if you add all of it's factors (1,2,3,6,9,) together the sum is 21.Definition of Abundant- a number that is less the sum of it's factors or integers
What does Abundant Deficient and perfect mean?
Abundant is a number for which the sum of all its proper factors is greater than the number itself. Deficient is a number for which the sum of all its proper factors is less than the number itself. Perfect is a number for which the sum of all its proper factors is the number itself.
