Q: What are the factor combinations of the number 200,252,705?

 A:
Positive:   1 x 2002527055 x 40050541199 x 1006295313 x 639785643 x 311435995 x 2012591565 x 1279573215 x 62287
Negative: -1 x -200252705-5 x -40050541-199 x -1006295-313 x -639785-643 x -311435-995 x -201259-1565 x -127957-3215 x -62287


How do I find the factor combinations of the number 200,252,705?

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 200,252,705, 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.

1 200,252,705
-1 -200,252,705

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 200,252,705.

Example:
1 x 200,252,705 = 200,252,705
and
-1 x -200,252,705 = 200,252,705
Notice both answers equal 200,252,705

With that explanation out of the way, let's continue. Next, we take the number 200,252,705 and divide it by 2:

200,252,705 ÷ 2 = 100,126,352.5

If the quotient is a whole number, then 2 and 100,126,352.5 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:

1 200,252,705
-1 -200,252,705

Now, we try dividing 200,252,705 by 3:

200,252,705 ÷ 3 = 66,750,901.6667

If the quotient is a whole number, then 3 and 66,750,901.6667 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:

1 200,252,705
-1 -200,252,705

Let's try dividing by 4:

200,252,705 ÷ 4 = 50,063,176.25

If the quotient is a whole number, then 4 and 50,063,176.25 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:

1 200,252,705
-1 200,252,705
Keep dividing by the next highest number until you cannot divide anymore.

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

151993136439951,5653,21562,287127,957201,259311,435639,7851,006,29540,050,541200,252,705
-1-5-199-313-643-995-1,565-3,215-62,287-127,957-201,259-311,435-639,785-1,006,295-40,050,541-200,252,705

More Examples

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