Q: What are the factor combinations of the number 631,631,209?

 A:
Positive:   1 x 63163120911 x 5742101917 x 37154777187 x 3377707251 x 25164592761 x 2287694267 x 14802713457 x 46937
Negative: -1 x -631631209-11 x -57421019-17 x -37154777-187 x -3377707-251 x -2516459-2761 x -228769-4267 x -148027-13457 x -46937


How do I find the factor combinations of the number 631,631,209?

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 631,631,209, 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.

1 631,631,209
-1 -631,631,209

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 631,631,209.

Example:
1 x 631,631,209 = 631,631,209
and
-1 x -631,631,209 = 631,631,209
Notice both answers equal 631,631,209

With that explanation out of the way, let's continue. Next, we take the number 631,631,209 and divide it by 2:

631,631,209 ÷ 2 = 315,815,604.5

If the quotient is a whole number, then 2 and 315,815,604.5 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:

1 631,631,209
-1 -631,631,209

Now, we try dividing 631,631,209 by 3:

631,631,209 ÷ 3 = 210,543,736.3333

If the quotient is a whole number, then 3 and 210,543,736.3333 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:

1 631,631,209
-1 -631,631,209

Let's try dividing by 4:

631,631,209 ÷ 4 = 157,907,802.25

If the quotient is a whole number, then 4 and 157,907,802.25 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:

1 631,631,209
-1 631,631,209
Keep dividing by the next highest number until you cannot divide anymore.

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

111171872512,7614,26713,45746,937148,027228,7692,516,4593,377,70737,154,77757,421,019631,631,209
-1-11-17-187-251-2,761-4,267-13,457-46,937-148,027-228,769-2,516,459-3,377,707-37,154,777-57,421,019-631,631,209

More Examples

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