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Why does every number have 1 as a proper factor?
Every number has one as a factor because one can divide into any number with no remainder. Every number does not have one as a proper factor because the set of proper factors does not contain one and the number itself.
What number is also the sum of all its proper factors except itself?
That is one definition of the set of proper factors.
What is the differences between a product and a factor?
Proper factors occur when you list all the factors of a number except for 1 and the number itself. Common factors occur when you compare a minimum of two sets of factors and see which ones they share.
What are factors of 19 and 20?
The term common factors specifically refers to the factors shared by two or more numbers. Since 19 is a single number, you could say that it shares all of its factors with itself.19 is a prime number. It is only evenly divisible by itself and one.
What are the factor pairs for 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 and 294?
There is no number with the given list as its only proper factors. As 2 and 5 are both proper factors of the number, 10 must also be a proper factor of the number, but you have not listed it. Dropping the proper factor 5 and adding the proper factor 21 allows the number to be 2 x 294 = 588. All factors of a number have a pair which when multiplied together give the number. The first proper factor of all numbers is 1 and would pair with the number itself. The second proper factor pairs with the last proper factor, the third with the second to last and so on. If this leaves one factor unpaired, the number is a perfect square of this factor. For your list (corrected): The number = 1 x number = 2 x 294 = 3 x 196 = 4 x 147 = 6 x 98 = 7 x 84 = 12 x 49 = 14 x 42 = 21 x 28 For your list, the lowest number which has all those factors is 2940 which also has the extra proper factors: 10, 15, 20, 21, 30, 35, 60, 70, 105, 140, 210, 245, 420, 490, 588, 735, 980 & 1470 Another answer: There's a problem here. There are two definitions of proper factors. One leaves out the number itself, and the other leaves out one and the number itself. Since you've included one, we'll go with the first definition. Since the last number has been removed, that would mean that the number you're looking for would be the product of the second number (2) and the second to last number (294) or the third number (3) and the third to last number (196) and so on. Both of these are 588. But the list you've notated is not the proper factors of 588. Take out the 5 and add a 21 and you will have listed the proper factors of 588.
What number is the sum of all it's proper factor?
A perfect number, like 6.
What is a proper factor in English?
Proper factors are the set of all the factors minus 1 and the number you are factoring.
Why does every number have 1 as a proper factor?
Every number has one as a factor because one can divide into any number with no remainder. Every number does not have one as a proper factor because the set of proper factors does not contain one and the number itself.
Does any number that has 10 as a factor also have 5 as a factor explain?
Any number that has another number for a factor has that number's factors as factors as well. Since 5 is a factor of 10, all multiples of 10 have 5 as a factor.
Do all proper factors have some factors that you can multiply to get another proper factor?
No. Some proper factors are prime.
A factor of all number?
Only the number 1 is a factor of all other integers.
What number is a factor of 1000 but not of 10000 and also is a multiple of both 50 and 8?
It is impossible to be a factor of 1000, but not of 10000. All of the factors of 1000 are also factors of 10000.
What number is also the sum of all its proper factors except itself?
That is one definition of the set of proper factors.
What is the differences between a product and a factor?
Proper factors occur when you list all the factors of a number except for 1 and the number itself. Common factors occur when you compare a minimum of two sets of factors and see which ones they share.
How do you find proper factors?
Proper factors are all the factors of a number except the number itself. To find the factors of a number, start with 1 and list the factor pairs of the number. For example, the factor pairs of 18 are:1 x 182 x 93 x 6The factors of 18 are: 1, 2, 3, 6, 9, 18.The proper factors are: 1, 2, 3, 6, 9.
What is the relation of the factors of a number to its multiples?
Not sure what the question means so two possible answers: A1: Every factor of a number must be a factor of all its multiples (though the converse does not apply). A2: Some numbers (eg primes) have no proper factors, others have many. But all numbers can be multiplied by any other number.
Do all even numbers have a factor of 2 explain?
Yes, all even numbers have a factor of two due the fact that the are of an even sequence and can be divisible by two which is also an even number. Any number that is even is not prime because is can be divided by the factor 2, but two itself is a prime number as its only factors are itself and 1. All even number have to have a factor of two e.g 4 can be divided by two, as well as 6,8,10,12,14,16,18,20 and so on.
