Q: What are the factor combinations of the number 246,205,631?

 A:
Positive:   1 x 2462056317 x 351722332543 x 9681713831 x 17801
Negative: -1 x -246205631-7 x -35172233-2543 x -96817-13831 x -17801


How do I find the factor combinations of the number 246,205,631?

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 246,205,631, 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.

1 246,205,631
-1 -246,205,631

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 246,205,631.

Example:
1 x 246,205,631 = 246,205,631
and
-1 x -246,205,631 = 246,205,631
Notice both answers equal 246,205,631

With that explanation out of the way, let's continue. Next, we take the number 246,205,631 and divide it by 2:

246,205,631 ÷ 2 = 123,102,815.5

If the quotient is a whole number, then 2 and 123,102,815.5 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:

1 246,205,631
-1 -246,205,631

Now, we try dividing 246,205,631 by 3:

246,205,631 ÷ 3 = 82,068,543.6667

If the quotient is a whole number, then 3 and 82,068,543.6667 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:

1 246,205,631
-1 -246,205,631

Let's try dividing by 4:

246,205,631 ÷ 4 = 61,551,407.75

If the quotient is a whole number, then 4 and 61,551,407.75 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:

1 246,205,631
-1 246,205,631
Keep dividing by the next highest number until you cannot divide anymore.

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

172,54313,83117,80196,81735,172,233246,205,631
-1-7-2,543-13,831-17,801-96,817-35,172,233-246,205,631

More Examples

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