Finding All Factors Of A Number
How did we find all the 4 components of 33? We simply used one of the divisibility or multiplication methods explained below.
How to Factor A Number With Divisibility?
We want to find all of the whole numbers that your figure is divisible by. Start dividing your number one after another with all numbers that are smaller than itself(for 33 you would have to make half the amount of divisions). All numbers that leave no remainder after division are components of the integer!
This is a simple yet also a very time consuming method. Not practical to use when dealing with large numbers.
How To Factor A Integer With Multiplication?
To find all the components of a given figure you start by multiplying with 1* (Example 1*33=33) then with 2*x, 3*x, 4*x and so on. A pair of numbers that when multiplied together equals 33 can be called the factors of 33(a factor pair of this integer).
This is also called the rainbow method, because you can write the smaller factors on the left and the bigger ones on the right side. Example:
List with all the components of 33:
1, 3, 11, 33
Gradually these factors will start to close in on each other. Once the gap between big and small elements is closed and they start to meet, then you know that all elements are found.
Tips For Finding Factors Easily
Simplify math by using these six tips for finding factors the easy way.
Tip 1: If the last digit of a bigger number is 0, 2, 4, 6 or 8 then this means that the whole number is an even number. If it is an even amount it is divisible by 2(making 2 a factor).
Tip 2: By multiplying the prime factors of a given number, we can find new factors.
Tip 3: If the sum of digits of a number is divisible by 3 then the figure is also divisible by 3(making 3 a factor). Example: the digits of 24 are 2 and 4 so 2+4=6 and 6 is divisible by 3, meaning that 24 is divisible by 3. The same logic also works for 9.
Tip 4: If the last two digits of a number are 00 then this integer is divisible by 4(knowing multiples of 4 comes in handy when using this). Making 4 a component.
Tip 5: If the last digit of a figure is 0 or 5 then 5 is a component of this number, because it is divisible.
Tip 6: All numbers that are divisible by both 2 and 3 are also divisible by 6. By using our third and sixth tip together you can now easily check if 6 is a factor in a big number.
What Are Factors Of A Number?
Whole numbers that are divisible without leaving any fractional part or remainder are called factors of a number. A component of a digit is also called it's divisor.