Q: What are the factor combinations of the number 7,887,425?

 A:
Positive:   1 x 78874255 x 15774857 x 112677513 x 60672525 x 31549735 x 22535565 x 12134591 x 86675175 x 45071325 x 24269455 x 173352275 x 3467
Negative: -1 x -7887425-5 x -1577485-7 x -1126775-13 x -606725-25 x -315497-35 x -225355-65 x -121345-91 x -86675-175 x -45071-325 x -24269-455 x -17335-2275 x -3467


How do I find the factor combinations of the number 7,887,425?

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 7,887,425, 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 7,887,425
-1 -7,887,425

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 7,887,425.

Example:
1 x 7,887,425 = 7,887,425
and
-1 x -7,887,425 = 7,887,425
Notice both answers equal 7,887,425

With that explanation out of the way, let's continue. Next, we take the number 7,887,425 and divide it by 2:

7,887,425 ÷ 2 = 3,943,712.5

If the quotient is a whole number, then 2 and 3,943,712.5 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 7,887,425
-1 -7,887,425

Now, we try dividing 7,887,425 by 3:

7,887,425 ÷ 3 = 2,629,141.6667

If the quotient is a whole number, then 3 and 2,629,141.6667 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 7,887,425
-1 -7,887,425

Let's try dividing by 4:

7,887,425 ÷ 4 = 1,971,856.25

If the quotient is a whole number, then 4 and 1,971,856.25 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 7,887,425
-1 7,887,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,2753,46717,33524,26945,07186,675121,345225,355315,497606,7251,126,7751,577,4857,887,425
-1-5-7-13-25-35-65-91-175-325-455-2,275-3,467-17,335-24,269-45,071-86,675-121,345-225,355-315,497-606,725-1,126,775-1,577,485-7,887,425

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