Q: What are the factor combinations of the number 201,203,123?

 A:
Positive:   1 x 20120312311 x 1829119397 x 2074259269 x 747967701 x 2870231067 x 1885692959 x 679977711 x 26093
Negative: -1 x -201203123-11 x -18291193-97 x -2074259-269 x -747967-701 x -287023-1067 x -188569-2959 x -67997-7711 x -26093


How do I find the factor combinations of the number 201,203,123?

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 201,203,123, 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.

1 201,203,123
-1 -201,203,123

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 201,203,123.

Example:
1 x 201,203,123 = 201,203,123
and
-1 x -201,203,123 = 201,203,123
Notice both answers equal 201,203,123

With that explanation out of the way, let's continue. Next, we take the number 201,203,123 and divide it by 2:

201,203,123 ÷ 2 = 100,601,561.5

If the quotient is a whole number, then 2 and 100,601,561.5 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:

1 201,203,123
-1 -201,203,123

Now, we try dividing 201,203,123 by 3:

201,203,123 ÷ 3 = 67,067,707.6667

If the quotient is a whole number, then 3 and 67,067,707.6667 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:

1 201,203,123
-1 -201,203,123

Let's try dividing by 4:

201,203,123 ÷ 4 = 50,300,780.75

If the quotient is a whole number, then 4 and 50,300,780.75 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:

1 201,203,123
-1 201,203,123
Keep dividing by the next highest number until you cannot divide anymore.

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

111972697011,0672,9597,71126,09367,997188,569287,023747,9672,074,25918,291,193201,203,123
-1-11-97-269-701-1,067-2,959-7,711-26,093-67,997-188,569-287,023-747,967-2,074,259-18,291,193-201,203,123

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