Q: What are the factor combinations of the number 200,133,143?

 A:
Positive:   1 x 2001331437 x 2859044923 x 870144189 x 2248687161 x 1243063623 x 3212412047 x 9776913967 x 14329
Negative: -1 x -200133143-7 x -28590449-23 x -8701441-89 x -2248687-161 x -1243063-623 x -321241-2047 x -97769-13967 x -14329


How do I find the factor combinations of the number 200,133,143?

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 200,133,143, 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.

1 200,133,143
-1 -200,133,143

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 200,133,143.

Example:
1 x 200,133,143 = 200,133,143
and
-1 x -200,133,143 = 200,133,143
Notice both answers equal 200,133,143

With that explanation out of the way, let's continue. Next, we take the number 200,133,143 and divide it by 2:

200,133,143 ÷ 2 = 100,066,571.5

If the quotient is a whole number, then 2 and 100,066,571.5 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:

1 200,133,143
-1 -200,133,143

Now, we try dividing 200,133,143 by 3:

200,133,143 ÷ 3 = 66,711,047.6667

If the quotient is a whole number, then 3 and 66,711,047.6667 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:

1 200,133,143
-1 -200,133,143

Let's try dividing by 4:

200,133,143 ÷ 4 = 50,033,285.75

If the quotient is a whole number, then 4 and 50,033,285.75 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:

1 200,133,143
-1 200,133,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1723891616232,04713,96714,32997,769321,2411,243,0632,248,6878,701,44128,590,449200,133,143
-1-7-23-89-161-623-2,047-13,967-14,329-97,769-321,241-1,243,063-2,248,687-8,701,441-28,590,449-200,133,143

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