Q: What are the factor combinations of the number 12,500,257?

 A:
Positive:   1 x 125002577 x 178575111 x 113638767 x 18657177 x 162341469 x 26653737 x 169612423 x 5159
Negative: -1 x -12500257-7 x -1785751-11 x -1136387-67 x -186571-77 x -162341-469 x -26653-737 x -16961-2423 x -5159


How do I find the factor combinations of the number 12,500,257?

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 12,500,257, 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 12,500,257
-1 -12,500,257

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 12,500,257.

Example:
1 x 12,500,257 = 12,500,257
and
-1 x -12,500,257 = 12,500,257
Notice both answers equal 12,500,257

With that explanation out of the way, let's continue. Next, we take the number 12,500,257 and divide it by 2:

12,500,257 ÷ 2 = 6,250,128.5

If the quotient is a whole number, then 2 and 6,250,128.5 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 12,500,257
-1 -12,500,257

Now, we try dividing 12,500,257 by 3:

12,500,257 ÷ 3 = 4,166,752.3333

If the quotient is a whole number, then 3 and 4,166,752.3333 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 12,500,257
-1 -12,500,257

Let's try dividing by 4:

12,500,257 ÷ 4 = 3,125,064.25

If the quotient is a whole number, then 4 and 3,125,064.25 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 12,500,257
-1 12,500,257
Keep dividing by the next highest number until you cannot divide anymore.

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

171167774697372,4235,15916,96126,653162,341186,5711,136,3871,785,75112,500,257
-1-7-11-67-77-469-737-2,423-5,159-16,961-26,653-162,341-186,571-1,136,387-1,785,751-12,500,257

More Examples

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