Q: What are the factor combinations of the number 200,078,123?

 A:
Positive:   1 x 2000781237 x 2858258931 x 645413349 x 4083227107 x 1869889217 x 922019749 x 2671271231 x 1625331519 x 1317173317 x 603195243 x 381618617 x 23219
Negative: -1 x -200078123-7 x -28582589-31 x -6454133-49 x -4083227-107 x -1869889-217 x -922019-749 x -267127-1231 x -162533-1519 x -131717-3317 x -60319-5243 x -38161-8617 x -23219


How do I find the factor combinations of the number 200,078,123?

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 200,078,123, 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.

1 200,078,123
-1 -200,078,123

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 200,078,123.

Example:
1 x 200,078,123 = 200,078,123
and
-1 x -200,078,123 = 200,078,123
Notice both answers equal 200,078,123

With that explanation out of the way, let's continue. Next, we take the number 200,078,123 and divide it by 2:

200,078,123 ÷ 2 = 100,039,061.5

If the quotient is a whole number, then 2 and 100,039,061.5 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:

1 200,078,123
-1 -200,078,123

Now, we try dividing 200,078,123 by 3:

200,078,123 ÷ 3 = 66,692,707.6667

If the quotient is a whole number, then 3 and 66,692,707.6667 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:

1 200,078,123
-1 -200,078,123

Let's try dividing by 4:

200,078,123 ÷ 4 = 50,019,530.75

If the quotient is a whole number, then 4 and 50,019,530.75 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:

1 200,078,123
-1 200,078,123
Keep dividing by the next highest number until you cannot divide anymore.

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

1731491072177491,2311,5193,3175,2438,61723,21938,16160,319131,717162,533267,127922,0191,869,8894,083,2276,454,13328,582,589200,078,123
-1-7-31-49-107-217-749-1,231-1,519-3,317-5,243-8,617-23,219-38,161-60,319-131,717-162,533-267,127-922,019-1,869,889-4,083,227-6,454,133-28,582,589-200,078,123

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