Every number is a factor of itself and is the greatest of its factors.
Answers
Answer:
The factors of a number include the number, itself, and 1. But these are pretty trivial factors, and so when we talk about factoring a number, we don't generally include factorizations that include 1 or the number itself.
In the context of numbers, the terms factor (and multiple and divisibility) are used only in connection with whole numbers. So, for example, even though 12 can be expressed as a product using fractions -- for example, or -- these are not factorizations of 12.
Prime numbers have two factors, themselves and 1, but those are the trivial factors that every number has. Because they cannot be factored in any other way, we say that they cannot be factored. For example, 7 "cannot be factored" (even though it has the two factors 1 and 7, or could be expressed as a product of non-whole numbers in various ways).
Composite numbers (counting numbers that are neither prime nor 1) can often be factored (expressed as a product of whole numbers) in more than one way. For example, 12 can be factored as 3 x 4, or as 2 x 6, or as 2 x 2 x 3. Not all composite numbers can be factored in more than one way, though. For example, 25 can be factored only as 5 x 5.
The order in which numbers are listed in a factorization does not matter: 3 x 4 and 4 x 3 are the same factorization of 12.
Every whole number is the product of 1 and itself so
(i) Each number is a factor of itself.
19 x 1 = 19,
So, 19 is the factor of 19.
(ii) 1 is the factor of every number.
31 x 1 = 31,
So, 1 is the factor of 31.
Every number is a factor of zero (0)
As, 7 x 0 = 0,
17 x 0 = 0,
93 x 0 = 0
So, 7, 17, 93, ……, etc., are the factors of 0.
1 is the smallest factor of a multiple and the greatest factor of a multiple is the multiple itself.