Q: What are the factor combinations of the number 12,511,525?

 A:
Positive:   1 x 125115255 x 250230513 x 96242525 x 50046165 x 192485137 x 91325281 x 44525325 x 38497685 x 182651405 x 89051781 x 70253425 x 3653
Negative: -1 x -12511525-5 x -2502305-13 x -962425-25 x -500461-65 x -192485-137 x -91325-281 x -44525-325 x -38497-685 x -18265-1405 x -8905-1781 x -7025-3425 x -3653


How do I find the factor combinations of the number 12,511,525?

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 12,511,525, 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 12,511,525
-1 -12,511,525

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 12,511,525.

Example:
1 x 12,511,525 = 12,511,525
and
-1 x -12,511,525 = 12,511,525
Notice both answers equal 12,511,525

With that explanation out of the way, let's continue. Next, we take the number 12,511,525 and divide it by 2:

12,511,525 ÷ 2 = 6,255,762.5

If the quotient is a whole number, then 2 and 6,255,762.5 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 12,511,525
-1 -12,511,525

Now, we try dividing 12,511,525 by 3:

12,511,525 ÷ 3 = 4,170,508.3333

If the quotient is a whole number, then 3 and 4,170,508.3333 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 12,511,525
-1 -12,511,525

Let's try dividing by 4:

12,511,525 ÷ 4 = 3,127,881.25

If the quotient is a whole number, then 4 and 3,127,881.25 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 12,511,525
-1 12,511,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651372813256851,4051,7813,4253,6537,0258,90518,26538,49744,52591,325192,485500,461962,4252,502,30512,511,525
-1-5-13-25-65-137-281-325-685-1,405-1,781-3,425-3,653-7,025-8,905-18,265-38,497-44,525-91,325-192,485-500,461-962,425-2,502,305-12,511,525

More Examples

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