Q: What are the factor combinations of the number 203,420,023?

 A:
Positive:   1 x 20342002319 x 1070631759 x 344779779 x 25749371121 x 1814631501 x 1355232297 x 885594661 x 43643
Negative: -1 x -203420023-19 x -10706317-59 x -3447797-79 x -2574937-1121 x -181463-1501 x -135523-2297 x -88559-4661 x -43643


How do I find the factor combinations of the number 203,420,023?

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 203,420,023, 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.

1 203,420,023
-1 -203,420,023

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 203,420,023.

Example:
1 x 203,420,023 = 203,420,023
and
-1 x -203,420,023 = 203,420,023
Notice both answers equal 203,420,023

With that explanation out of the way, let's continue. Next, we take the number 203,420,023 and divide it by 2:

203,420,023 ÷ 2 = 101,710,011.5

If the quotient is a whole number, then 2 and 101,710,011.5 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:

1 203,420,023
-1 -203,420,023

Now, we try dividing 203,420,023 by 3:

203,420,023 ÷ 3 = 67,806,674.3333

If the quotient is a whole number, then 3 and 67,806,674.3333 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:

1 203,420,023
-1 -203,420,023

Let's try dividing by 4:

203,420,023 ÷ 4 = 50,855,005.75

If the quotient is a whole number, then 4 and 50,855,005.75 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:

1 203,420,023
-1 203,420,023
Keep dividing by the next highest number until you cannot divide anymore.

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

11959791,1211,5012,2974,66143,64388,559135,523181,4632,574,9373,447,79710,706,317203,420,023
-1-19-59-79-1,121-1,501-2,297-4,661-43,643-88,559-135,523-181,463-2,574,937-3,447,797-10,706,317-203,420,023

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