Q: What are the factor combinations of the number 12,502,315?

 A:
Positive:   1 x 125023155 x 25004637 x 178604535 x 357209523 x 23905683 x 183052615 x 47813415 x 3661
Negative: -1 x -12502315-5 x -2500463-7 x -1786045-35 x -357209-523 x -23905-683 x -18305-2615 x -4781-3415 x -3661


How do I find the factor combinations of the number 12,502,315?

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 12,502,315, 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 12,502,315
-1 -12,502,315

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 12,502,315.

Example:
1 x 12,502,315 = 12,502,315
and
-1 x -12,502,315 = 12,502,315
Notice both answers equal 12,502,315

With that explanation out of the way, let's continue. Next, we take the number 12,502,315 and divide it by 2:

12,502,315 ÷ 2 = 6,251,157.5

If the quotient is a whole number, then 2 and 6,251,157.5 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 12,502,315
-1 -12,502,315

Now, we try dividing 12,502,315 by 3:

12,502,315 ÷ 3 = 4,167,438.3333

If the quotient is a whole number, then 3 and 4,167,438.3333 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 12,502,315
-1 -12,502,315

Let's try dividing by 4:

12,502,315 ÷ 4 = 3,125,578.75

If the quotient is a whole number, then 4 and 3,125,578.75 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 12,502,315
-1 12,502,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157355236832,6153,4153,6614,78118,30523,905357,2091,786,0452,500,46312,502,315
-1-5-7-35-523-683-2,615-3,415-3,661-4,781-18,305-23,905-357,209-1,786,045-2,500,463-12,502,315

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