Q: What are the factor combinations of the number 201,315,545?

 A:
Positive:   1 x 2013155455 x 4026310919 x 1059555595 x 21191111213 x 1659651747 x 1152356065 x 331938735 x 23047
Negative: -1 x -201315545-5 x -40263109-19 x -10595555-95 x -2119111-1213 x -165965-1747 x -115235-6065 x -33193-8735 x -23047


How do I find the factor combinations of the number 201,315,545?

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 201,315,545, 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.

1 201,315,545
-1 -201,315,545

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 201,315,545.

Example:
1 x 201,315,545 = 201,315,545
and
-1 x -201,315,545 = 201,315,545
Notice both answers equal 201,315,545

With that explanation out of the way, let's continue. Next, we take the number 201,315,545 and divide it by 2:

201,315,545 ÷ 2 = 100,657,772.5

If the quotient is a whole number, then 2 and 100,657,772.5 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:

1 201,315,545
-1 -201,315,545

Now, we try dividing 201,315,545 by 3:

201,315,545 ÷ 3 = 67,105,181.6667

If the quotient is a whole number, then 3 and 67,105,181.6667 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:

1 201,315,545
-1 -201,315,545

Let's try dividing by 4:

201,315,545 ÷ 4 = 50,328,886.25

If the quotient is a whole number, then 4 and 50,328,886.25 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:

1 201,315,545
-1 201,315,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951,2131,7476,0658,73523,04733,193115,235165,9652,119,11110,595,55540,263,109201,315,545
-1-5-19-95-1,213-1,747-6,065-8,735-23,047-33,193-115,235-165,965-2,119,111-10,595,555-40,263,109-201,315,545

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