Q: What are the factor combinations of the number 203,000,105?

 A:
Positive:   1 x 2030001055 x 406000217 x 2900001511 x 1845455535 x 580000355 x 369091177 x 2636365385 x 527273
Negative: -1 x -203000105-5 x -40600021-7 x -29000015-11 x -18454555-35 x -5800003-55 x -3690911-77 x -2636365-385 x -527273


How do I find the factor combinations of the number 203,000,105?

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 203,000,105, 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.

1 203,000,105
-1 -203,000,105

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 203,000,105.

Example:
1 x 203,000,105 = 203,000,105
and
-1 x -203,000,105 = 203,000,105
Notice both answers equal 203,000,105

With that explanation out of the way, let's continue. Next, we take the number 203,000,105 and divide it by 2:

203,000,105 ÷ 2 = 101,500,052.5

If the quotient is a whole number, then 2 and 101,500,052.5 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:

1 203,000,105
-1 -203,000,105

Now, we try dividing 203,000,105 by 3:

203,000,105 ÷ 3 = 67,666,701.6667

If the quotient is a whole number, then 3 and 67,666,701.6667 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:

1 203,000,105
-1 -203,000,105

Let's try dividing by 4:

203,000,105 ÷ 4 = 50,750,026.25

If the quotient is a whole number, then 4 and 50,750,026.25 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:

1 203,000,105
-1 203,000,105
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385527,2732,636,3653,690,9115,800,00318,454,55529,000,01540,600,021203,000,105
-1-5-7-11-35-55-77-385-527,273-2,636,365-3,690,911-5,800,003-18,454,555-29,000,015-40,600,021-203,000,105

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