Q: What are the factor combinations of the number 12,534,625?

 A:
Positive:   1 x 125346255 x 250692525 x 501385125 x 100277149 x 84125673 x 18625745 x 168253365 x 3725
Negative: -1 x -12534625-5 x -2506925-25 x -501385-125 x -100277-149 x -84125-673 x -18625-745 x -16825-3365 x -3725


How do I find the factor combinations of the number 12,534,625?

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 12,534,625, 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 12,534,625
-1 -12,534,625

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 12,534,625.

Example:
1 x 12,534,625 = 12,534,625
and
-1 x -12,534,625 = 12,534,625
Notice both answers equal 12,534,625

With that explanation out of the way, let's continue. Next, we take the number 12,534,625 and divide it by 2:

12,534,625 ÷ 2 = 6,267,312.5

If the quotient is a whole number, then 2 and 6,267,312.5 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 12,534,625
-1 -12,534,625

Now, we try dividing 12,534,625 by 3:

12,534,625 ÷ 3 = 4,178,208.3333

If the quotient is a whole number, then 3 and 4,178,208.3333 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 12,534,625
-1 -12,534,625

Let's try dividing by 4:

12,534,625 ÷ 4 = 3,133,656.25

If the quotient is a whole number, then 4 and 3,133,656.25 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 12,534,625
-1 12,534,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251496737453,3653,72516,82518,62584,125100,277501,3852,506,92512,534,625
-1-5-25-125-149-673-745-3,365-3,725-16,825-18,625-84,125-100,277-501,385-2,506,925-12,534,625

More Examples

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