Q: What are the factor combinations of the number 200,442,125?

 A:
Positive:   1 x 2004421255 x 4008842513 x 1541862523 x 871487525 x 801768531 x 646587565 x 3083725115 x 1742975125 x 1603537155 x 1293175173 x 1158625299 x 670375325 x 616745403 x 497375575 x 348595713 x 281125775 x 258635865 x 2317251495 x 1340751625 x 1233492015 x 994752249 x 891252875 x 697193565 x 562253875 x 517273979 x 503754325 x 463455363 x 373757475 x 268159269 x 2162510075 x 1989511245 x 17825
Negative: -1 x -200442125-5 x -40088425-13 x -15418625-23 x -8714875-25 x -8017685-31 x -6465875-65 x -3083725-115 x -1742975-125 x -1603537-155 x -1293175-173 x -1158625-299 x -670375-325 x -616745-403 x -497375-575 x -348595-713 x -281125-775 x -258635-865 x -231725-1495 x -134075-1625 x -123349-2015 x -99475-2249 x -89125-2875 x -69719-3565 x -56225-3875 x -51727-3979 x -50375-4325 x -46345-5363 x -37375-7475 x -26815-9269 x -21625-10075 x -19895-11245 x -17825


How do I find the factor combinations of the number 200,442,125?

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 200,442,125, 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.

1 200,442,125
-1 -200,442,125

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 200,442,125.

Example:
1 x 200,442,125 = 200,442,125
and
-1 x -200,442,125 = 200,442,125
Notice both answers equal 200,442,125

With that explanation out of the way, let's continue. Next, we take the number 200,442,125 and divide it by 2:

200,442,125 ÷ 2 = 100,221,062.5

If the quotient is a whole number, then 2 and 100,221,062.5 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:

1 200,442,125
-1 -200,442,125

Now, we try dividing 200,442,125 by 3:

200,442,125 ÷ 3 = 66,814,041.6667

If the quotient is a whole number, then 3 and 66,814,041.6667 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:

1 200,442,125
-1 -200,442,125

Let's try dividing by 4:

200,442,125 ÷ 4 = 50,110,531.25

If the quotient is a whole number, then 4 and 50,110,531.25 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:

1 200,442,125
-1 200,442,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1513232531651151251551732993254035757137758651,4951,6252,0152,2492,8753,5653,8753,9794,3255,3637,4759,26910,07511,24517,82519,89521,62526,81537,37546,34550,37551,72756,22569,71989,12599,475123,349134,075231,725258,635281,125348,595497,375616,745670,3751,158,6251,293,1751,603,5371,742,9753,083,7256,465,8758,017,6858,714,87515,418,62540,088,425200,442,125
-1-5-13-23-25-31-65-115-125-155-173-299-325-403-575-713-775-865-1,495-1,625-2,015-2,249-2,875-3,565-3,875-3,979-4,325-5,363-7,475-9,269-10,075-11,245-17,825-19,895-21,625-26,815-37,375-46,345-50,375-51,727-56,225-69,719-89,125-99,475-123,349-134,075-231,725-258,635-281,125-348,595-497,375-616,745-670,375-1,158,625-1,293,175-1,603,537-1,742,975-3,083,725-6,465,875-8,017,685-8,714,875-15,418,625-40,088,425-200,442,125

More Examples

Here are some more numbers to try:

200,442,123200,442,124200,442,126200,442,127
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