Q: What are the factor combinations of the number 200,130,133?

 A:
Positive:   1 x 2001301337 x 28590019103 x 1943011197 x 1015889721 x 2775731379 x 1451271409 x 1420379863 x 20291
Negative: -1 x -200130133-7 x -28590019-103 x -1943011-197 x -1015889-721 x -277573-1379 x -145127-1409 x -142037-9863 x -20291


How do I find the factor combinations of the number 200,130,133?

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 200,130,133, 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.

1 200,130,133
-1 -200,130,133

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 200,130,133.

Example:
1 x 200,130,133 = 200,130,133
and
-1 x -200,130,133 = 200,130,133
Notice both answers equal 200,130,133

With that explanation out of the way, let's continue. Next, we take the number 200,130,133 and divide it by 2:

200,130,133 ÷ 2 = 100,065,066.5

If the quotient is a whole number, then 2 and 100,065,066.5 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:

1 200,130,133
-1 -200,130,133

Now, we try dividing 200,130,133 by 3:

200,130,133 ÷ 3 = 66,710,044.3333

If the quotient is a whole number, then 3 and 66,710,044.3333 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:

1 200,130,133
-1 -200,130,133

Let's try dividing by 4:

200,130,133 ÷ 4 = 50,032,533.25

If the quotient is a whole number, then 4 and 50,032,533.25 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:

1 200,130,133
-1 200,130,133
Keep dividing by the next highest number until you cannot divide anymore.

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

171031977211,3791,4099,86320,291142,037145,127277,5731,015,8891,943,01128,590,019200,130,133
-1-7-103-197-721-1,379-1,409-9,863-20,291-142,037-145,127-277,573-1,015,889-1,943,011-28,590,019-200,130,133

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