Q: What are the factor combinations of the number 12,631,135?

 A:
Positive:   1 x 126311355 x 252622711 x 114828555 x 229657179 x 70565895 x 141131283 x 98451969 x 6415
Negative: -1 x -12631135-5 x -2526227-11 x -1148285-55 x -229657-179 x -70565-895 x -14113-1283 x -9845-1969 x -6415


How do I find the factor combinations of the number 12,631,135?

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 12,631,135, 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 12,631,135
-1 -12,631,135

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 12,631,135.

Example:
1 x 12,631,135 = 12,631,135
and
-1 x -12,631,135 = 12,631,135
Notice both answers equal 12,631,135

With that explanation out of the way, let's continue. Next, we take the number 12,631,135 and divide it by 2:

12,631,135 ÷ 2 = 6,315,567.5

If the quotient is a whole number, then 2 and 6,315,567.5 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 12,631,135
-1 -12,631,135

Now, we try dividing 12,631,135 by 3:

12,631,135 ÷ 3 = 4,210,378.3333

If the quotient is a whole number, then 3 and 4,210,378.3333 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 12,631,135
-1 -12,631,135

Let's try dividing by 4:

12,631,135 ÷ 4 = 3,157,783.75

If the quotient is a whole number, then 4 and 3,157,783.75 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 12,631,135
-1 12,631,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551798951,2831,9696,4159,84514,11370,565229,6571,148,2852,526,22712,631,135
-1-5-11-55-179-895-1,283-1,969-6,415-9,845-14,113-70,565-229,657-1,148,285-2,526,227-12,631,135

More Examples

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