Q: What are the factor combinations of the number 201,021,265?

 A:
Positive:   1 x 2010212655 x 4020425323 x 8740055115 x 1748011331 x 6073151655 x 1214635281 x 380657613 x 26405
Negative: -1 x -201021265-5 x -40204253-23 x -8740055-115 x -1748011-331 x -607315-1655 x -121463-5281 x -38065-7613 x -26405


How do I find the factor combinations of the number 201,021,265?

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 201,021,265, 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.

1 201,021,265
-1 -201,021,265

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 201,021,265.

Example:
1 x 201,021,265 = 201,021,265
and
-1 x -201,021,265 = 201,021,265
Notice both answers equal 201,021,265

With that explanation out of the way, let's continue. Next, we take the number 201,021,265 and divide it by 2:

201,021,265 ÷ 2 = 100,510,632.5

If the quotient is a whole number, then 2 and 100,510,632.5 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:

1 201,021,265
-1 -201,021,265

Now, we try dividing 201,021,265 by 3:

201,021,265 ÷ 3 = 67,007,088.3333

If the quotient is a whole number, then 3 and 67,007,088.3333 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:

1 201,021,265
-1 -201,021,265

Let's try dividing by 4:

201,021,265 ÷ 4 = 50,255,316.25

If the quotient is a whole number, then 4 and 50,255,316.25 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:

1 201,021,265
-1 201,021,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15231153311,6555,2817,61326,40538,065121,463607,3151,748,0118,740,05540,204,253201,021,265
-1-5-23-115-331-1,655-5,281-7,613-26,405-38,065-121,463-607,315-1,748,011-8,740,055-40,204,253-201,021,265

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