Q: What are the factor combinations of the number 200,011,105?

 A:
Positive:   1 x 2000111055 x 400022217 x 2857301523 x 869613535 x 5714603115 x 1739227161 x 1242305805 x 248461
Negative: -1 x -200011105-5 x -40002221-7 x -28573015-23 x -8696135-35 x -5714603-115 x -1739227-161 x -1242305-805 x -248461


How do I find the factor combinations of the number 200,011,105?

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 200,011,105, 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.

1 200,011,105
-1 -200,011,105

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 200,011,105.

Example:
1 x 200,011,105 = 200,011,105
and
-1 x -200,011,105 = 200,011,105
Notice both answers equal 200,011,105

With that explanation out of the way, let's continue. Next, we take the number 200,011,105 and divide it by 2:

200,011,105 ÷ 2 = 100,005,552.5

If the quotient is a whole number, then 2 and 100,005,552.5 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:

1 200,011,105
-1 -200,011,105

Now, we try dividing 200,011,105 by 3:

200,011,105 ÷ 3 = 66,670,368.3333

If the quotient is a whole number, then 3 and 66,670,368.3333 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:

1 200,011,105
-1 -200,011,105

Let's try dividing by 4:

200,011,105 ÷ 4 = 50,002,776.25

If the quotient is a whole number, then 4 and 50,002,776.25 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:

1 200,011,105
-1 200,011,105
Keep dividing by the next highest number until you cannot divide anymore.

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

1572335115161805248,4611,242,3051,739,2275,714,6038,696,13528,573,01540,002,221200,011,105
-1-5-7-23-35-115-161-805-248,461-1,242,305-1,739,227-5,714,603-8,696,135-28,573,015-40,002,221-200,011,105

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