Flexi Says:
A factor is a number that divides another number completely without any remainder.
Factors of 4000 are those numbers that divide 4000 completely without leaving any remainder.
There are 24 factors of 4000, where 4000 is the biggest factor, and 1 is the smallest factor.
The factors of 4000 can be listed as 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000.
Steps to find Factors of a Number by Division Method
To find factors of a given number by division, we follow the following steps:
Step 1: Divide the given number by each number less than or equal to the given number.
Step 2: The divisors that give the remainder to be 0 are the factors of the number.
Steps to find Factors of a Number by Multiplication Method
To find factors of a given number by multiplication, we follow the following steps:
Step 1: Write the given number as the product of two numbers in different possible ways.
Step 2: All the numbers involved in all these products are the factors of the given number.
To find the factors of a number, we can use the division method and the multiplication method.
Properties of Factors
Factors of a number have certainproperties. Given below are the properties of factors:
Property 1: 1 is a factor of every non-zero number, and it is the smallest factor of that number.
We have,@$$\begin{align*}1& : 1 \\2& : 1, 2 \\6& : 1, 2, 3, 6 \\20& : 1, 2, 4, 5, 10, 20 \\35& : 1, 5, 7, 35\end{align*}@$$
Thus, 1 is a factor of every non-zero number and the smallest factor.
Property 2: Every non-zero number is the largest factor of itself.
We have,
@$\begin{align*}2 : 1, 2 \ \ (2\end{align*}@$ is the largest factor of @$\begin{align*}2)\end{align*}@$
@$\begin{align*}20: 1, 2, 4, 5, 10, 20 \ \ (20\end{align*}@$ is the largest factor of @$\begin{align*}20)\end{align*}@$
Thus, every non-zero number is the largest factor of itself.
Property 3: Every factor of a non-zero number is an exact divisor of that number.
Factors of 18 are 1, 2, 3, 6, 9, 18. We find that each one of these factors divides 18. This is true for all numbers.
Property 4: Every factor of a non-zero number is either less than or equal to the given number.
Factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40.
Each of them is less than or equal to 40.
Property 5: Every non-zero number has finite factors.
All the factors of 15 are 1, 3, 5 and 15.
All the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
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