Q: What are the factor combinations of the number 650,270,209?

 A:
Positive:   1 x 65027020941 x 1586024943 x 15122563103 x 63133031763 x 3688433581 x 1815894223 x 1539834429 x 146821
Negative: -1 x -650270209-41 x -15860249-43 x -15122563-103 x -6313303-1763 x -368843-3581 x -181589-4223 x -153983-4429 x -146821


How do I find the factor combinations of the number 650,270,209?

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 650,270,209, 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.

1 650,270,209
-1 -650,270,209

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 650,270,209.

Example:
1 x 650,270,209 = 650,270,209
and
-1 x -650,270,209 = 650,270,209
Notice both answers equal 650,270,209

With that explanation out of the way, let's continue. Next, we take the number 650,270,209 and divide it by 2:

650,270,209 ÷ 2 = 325,135,104.5

If the quotient is a whole number, then 2 and 325,135,104.5 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:

1 650,270,209
-1 -650,270,209

Now, we try dividing 650,270,209 by 3:

650,270,209 ÷ 3 = 216,756,736.3333

If the quotient is a whole number, then 3 and 216,756,736.3333 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:

1 650,270,209
-1 -650,270,209

Let's try dividing by 4:

650,270,209 ÷ 4 = 162,567,552.25

If the quotient is a whole number, then 4 and 162,567,552.25 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:

1 650,270,209
-1 650,270,209
Keep dividing by the next highest number until you cannot divide anymore.

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

141431031,7633,5814,2234,429146,821153,983181,589368,8436,313,30315,122,56315,860,249650,270,209
-1-41-43-103-1,763-3,581-4,223-4,429-146,821-153,983-181,589-368,843-6,313,303-15,122,563-15,860,249-650,270,209

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