Q: What are the factor combinations of the number 201,321,131?

 A:
Positive:   1 x 20132113111 x 1830192119 x 1059584967 x 3004793121 x 1663811209 x 963259737 x 2731631273 x 1581471307 x 1540332299 x 875698107 x 2483314003 x 14377
Negative: -1 x -201321131-11 x -18301921-19 x -10595849-67 x -3004793-121 x -1663811-209 x -963259-737 x -273163-1273 x -158147-1307 x -154033-2299 x -87569-8107 x -24833-14003 x -14377


How do I find the factor combinations of the number 201,321,131?

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 201,321,131, 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.

1 201,321,131
-1 -201,321,131

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 201,321,131.

Example:
1 x 201,321,131 = 201,321,131
and
-1 x -201,321,131 = 201,321,131
Notice both answers equal 201,321,131

With that explanation out of the way, let's continue. Next, we take the number 201,321,131 and divide it by 2:

201,321,131 ÷ 2 = 100,660,565.5

If the quotient is a whole number, then 2 and 100,660,565.5 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:

1 201,321,131
-1 -201,321,131

Now, we try dividing 201,321,131 by 3:

201,321,131 ÷ 3 = 67,107,043.6667

If the quotient is a whole number, then 3 and 67,107,043.6667 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:

1 201,321,131
-1 -201,321,131

Let's try dividing by 4:

201,321,131 ÷ 4 = 50,330,282.75

If the quotient is a whole number, then 4 and 50,330,282.75 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:

1 201,321,131
-1 201,321,131
Keep dividing by the next highest number until you cannot divide anymore.

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

11119671212097371,2731,3072,2998,10714,00314,37724,83387,569154,033158,147273,163963,2591,663,8113,004,79310,595,84918,301,921201,321,131
-1-11-19-67-121-209-737-1,273-1,307-2,299-8,107-14,003-14,377-24,833-87,569-154,033-158,147-273,163-963,259-1,663,811-3,004,793-10,595,849-18,301,921-201,321,131

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