Q: What are the factor combinations of the number 13,855,625?

 A:
Positive:   1 x 138556255 x 27711257 x 197937525 x 55422535 x 395875125 x 110845175 x 79175625 x 22169875 x 158353167 x 4375
Negative: -1 x -13855625-5 x -2771125-7 x -1979375-25 x -554225-35 x -395875-125 x -110845-175 x -79175-625 x -22169-875 x -15835-3167 x -4375


How do I find the factor combinations of the number 13,855,625?

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 13,855,625, 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 13,855,625
-1 -13,855,625

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 13,855,625.

Example:
1 x 13,855,625 = 13,855,625
and
-1 x -13,855,625 = 13,855,625
Notice both answers equal 13,855,625

With that explanation out of the way, let's continue. Next, we take the number 13,855,625 and divide it by 2:

13,855,625 ÷ 2 = 6,927,812.5

If the quotient is a whole number, then 2 and 6,927,812.5 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 13,855,625
-1 -13,855,625

Now, we try dividing 13,855,625 by 3:

13,855,625 ÷ 3 = 4,618,541.6667

If the quotient is a whole number, then 3 and 4,618,541.6667 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 13,855,625
-1 -13,855,625

Let's try dividing by 4:

13,855,625 ÷ 4 = 3,463,906.25

If the quotient is a whole number, then 4 and 3,463,906.25 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 13,855,625
-1 13,855,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251756258753,1674,37515,83522,16979,175110,845395,875554,2251,979,3752,771,12513,855,625
-1-5-7-25-35-125-175-625-875-3,167-4,375-15,835-22,169-79,175-110,845-395,875-554,225-1,979,375-2,771,125-13,855,625

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