Q: What are the factor combinations of the number 200,135,035?

 A:
Positive:   1 x 2001350355 x 4002700737 x 5409055101 x 1981535185 x 1081811505 x 3963073737 x 5355510711 x 18685
Negative: -1 x -200135035-5 x -40027007-37 x -5409055-101 x -1981535-185 x -1081811-505 x -396307-3737 x -53555-10711 x -18685


How do I find the factor combinations of the number 200,135,035?

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 200,135,035, 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.

1 200,135,035
-1 -200,135,035

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 200,135,035.

Example:
1 x 200,135,035 = 200,135,035
and
-1 x -200,135,035 = 200,135,035
Notice both answers equal 200,135,035

With that explanation out of the way, let's continue. Next, we take the number 200,135,035 and divide it by 2:

200,135,035 ÷ 2 = 100,067,517.5

If the quotient is a whole number, then 2 and 100,067,517.5 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:

1 200,135,035
-1 -200,135,035

Now, we try dividing 200,135,035 by 3:

200,135,035 ÷ 3 = 66,711,678.3333

If the quotient is a whole number, then 3 and 66,711,678.3333 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:

1 200,135,035
-1 -200,135,035

Let's try dividing by 4:

200,135,035 ÷ 4 = 50,033,758.75

If the quotient is a whole number, then 4 and 50,033,758.75 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:

1 200,135,035
-1 200,135,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15371011855053,73710,71118,68553,555396,3071,081,8111,981,5355,409,05540,027,007200,135,035
-1-5-37-101-185-505-3,737-10,711-18,685-53,555-396,307-1,081,811-1,981,535-5,409,055-40,027,007-200,135,035

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