Q: What are the factor combinations of the number 200,013,635?

 A:
Positive:   1 x 2000136355 x 4000272723 x 8696245115 x 1739249479 x 4175652395 x 835133631 x 5508511017 x 18155
Negative: -1 x -200013635-5 x -40002727-23 x -8696245-115 x -1739249-479 x -417565-2395 x -83513-3631 x -55085-11017 x -18155


How do I find the factor combinations of the number 200,013,635?

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 200,013,635, 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.

1 200,013,635
-1 -200,013,635

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 200,013,635.

Example:
1 x 200,013,635 = 200,013,635
and
-1 x -200,013,635 = 200,013,635
Notice both answers equal 200,013,635

With that explanation out of the way, let's continue. Next, we take the number 200,013,635 and divide it by 2:

200,013,635 ÷ 2 = 100,006,817.5

If the quotient is a whole number, then 2 and 100,006,817.5 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:

1 200,013,635
-1 -200,013,635

Now, we try dividing 200,013,635 by 3:

200,013,635 ÷ 3 = 66,671,211.6667

If the quotient is a whole number, then 3 and 66,671,211.6667 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:

1 200,013,635
-1 -200,013,635

Let's try dividing by 4:

200,013,635 ÷ 4 = 50,003,408.75

If the quotient is a whole number, then 4 and 50,003,408.75 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:

1 200,013,635
-1 200,013,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15231154792,3953,63111,01718,15555,08583,513417,5651,739,2498,696,24540,002,727200,013,635
-1-5-23-115-479-2,395-3,631-11,017-18,155-55,085-83,513-417,565-1,739,249-8,696,245-40,002,727-200,013,635

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