Q: What are the factor combinations of the number 200,650,705?

 A:
Positive:   1 x 2006507055 x 40130141199 x 1008295421 x 476605479 x 418895995 x 2016592105 x 953212395 x 83779
Negative: -1 x -200650705-5 x -40130141-199 x -1008295-421 x -476605-479 x -418895-995 x -201659-2105 x -95321-2395 x -83779


How do I find the factor combinations of the number 200,650,705?

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 200,650,705, 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.

1 200,650,705
-1 -200,650,705

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 200,650,705.

Example:
1 x 200,650,705 = 200,650,705
and
-1 x -200,650,705 = 200,650,705
Notice both answers equal 200,650,705

With that explanation out of the way, let's continue. Next, we take the number 200,650,705 and divide it by 2:

200,650,705 ÷ 2 = 100,325,352.5

If the quotient is a whole number, then 2 and 100,325,352.5 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:

1 200,650,705
-1 -200,650,705

Now, we try dividing 200,650,705 by 3:

200,650,705 ÷ 3 = 66,883,568.3333

If the quotient is a whole number, then 3 and 66,883,568.3333 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:

1 200,650,705
-1 -200,650,705

Let's try dividing by 4:

200,650,705 ÷ 4 = 50,162,676.25

If the quotient is a whole number, then 4 and 50,162,676.25 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:

1 200,650,705
-1 200,650,705
Keep dividing by the next highest number until you cannot divide anymore.

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

151994214799952,1052,39583,77995,321201,659418,895476,6051,008,29540,130,141200,650,705
-1-5-199-421-479-995-2,105-2,395-83,779-95,321-201,659-418,895-476,605-1,008,295-40,130,141-200,650,705

More Examples

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