Q: What are the factor combinations of the number 201,540,145?

 A:
Positive:   1 x 2015401455 x 4030802923 x 876261531 x 6501295115 x 1752523155 x 1300259713 x 2826653565 x 56533
Negative: -1 x -201540145-5 x -40308029-23 x -8762615-31 x -6501295-115 x -1752523-155 x -1300259-713 x -282665-3565 x -56533


How do I find the factor combinations of the number 201,540,145?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 201,540,145, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 201,540,145
-1 -201,540,145

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,540,145.

Example:
1 x 201,540,145 = 201,540,145
and
-1 x -201,540,145 = 201,540,145
Notice both answers equal 201,540,145

With that explanation out of the way, let's continue. Next, we take the number 201,540,145 and divide it by 2:

201,540,145 ÷ 2 = 100,770,072.5

If the quotient is a whole number, then 2 and 100,770,072.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 201,540,145
-1 -201,540,145

Now, we try dividing 201,540,145 by 3:

201,540,145 ÷ 3 = 67,180,048.3333

If the quotient is a whole number, then 3 and 67,180,048.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 201,540,145
-1 -201,540,145

Let's try dividing by 4:

201,540,145 ÷ 4 = 50,385,036.25

If the quotient is a whole number, then 4 and 50,385,036.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 201,540,145
-1 201,540,145
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1523311151557133,56556,533282,6651,300,2591,752,5236,501,2958,762,61540,308,029201,540,145
-1-5-23-31-115-155-713-3,565-56,533-282,665-1,300,259-1,752,523-6,501,295-8,762,615-40,308,029-201,540,145

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