Q: What are the factor combinations of the number 116,020,201?

 A:
Positive:   1 x 11602020111 x 1054729141 x 2829761173 x 670637451 x 2572511487 x 780231903 x 609677093 x 16357
Negative: -1 x -116020201-11 x -10547291-41 x -2829761-173 x -670637-451 x -257251-1487 x -78023-1903 x -60967-7093 x -16357


How do I find the factor combinations of the number 116,020,201?

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 116,020,201, 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.

1 116,020,201
-1 -116,020,201

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 116,020,201.

Example:
1 x 116,020,201 = 116,020,201
and
-1 x -116,020,201 = 116,020,201
Notice both answers equal 116,020,201

With that explanation out of the way, let's continue. Next, we take the number 116,020,201 and divide it by 2:

116,020,201 ÷ 2 = 58,010,100.5

If the quotient is a whole number, then 2 and 58,010,100.5 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:

1 116,020,201
-1 -116,020,201

Now, we try dividing 116,020,201 by 3:

116,020,201 ÷ 3 = 38,673,400.3333

If the quotient is a whole number, then 3 and 38,673,400.3333 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:

1 116,020,201
-1 -116,020,201

Let's try dividing by 4:

116,020,201 ÷ 4 = 29,005,050.25

If the quotient is a whole number, then 4 and 29,005,050.25 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:

1 116,020,201
-1 116,020,201
Keep dividing by the next highest number until you cannot divide anymore.

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

111411734511,4871,9037,09316,35760,96778,023257,251670,6372,829,76110,547,291116,020,201
-1-11-41-173-451-1,487-1,903-7,093-16,357-60,967-78,023-257,251-670,637-2,829,761-10,547,291-116,020,201

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