Q: What are the factor combinations of the number 1,250,725?

 A:
Positive:   1 x 12507255 x 2501457 x 17867525 x 5002935 x 3573549 x 25525175 x 7147245 x 51051021 x 1225
Negative: -1 x -1250725-5 x -250145-7 x -178675-25 x -50029-35 x -35735-49 x -25525-175 x -7147-245 x -5105-1021 x -1225


How do I find the factor combinations of the number 1,250,725?

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 1,250,725, 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 1,250,725
-1 -1,250,725

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 1,250,725.

Example:
1 x 1,250,725 = 1,250,725
and
-1 x -1,250,725 = 1,250,725
Notice both answers equal 1,250,725

With that explanation out of the way, let's continue. Next, we take the number 1,250,725 and divide it by 2:

1,250,725 ÷ 2 = 625,362.5

If the quotient is a whole number, then 2 and 625,362.5 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 1,250,725
-1 -1,250,725

Now, we try dividing 1,250,725 by 3:

1,250,725 ÷ 3 = 416,908.3333

If the quotient is a whole number, then 3 and 416,908.3333 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 1,250,725
-1 -1,250,725

Let's try dividing by 4:

1,250,725 ÷ 4 = 312,681.25

If the quotient is a whole number, then 4 and 312,681.25 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 1,250,725
-1 1,250,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,0211,2255,1057,14725,52535,73550,029178,675250,1451,250,725
-1-5-7-25-35-49-175-245-1,021-1,225-5,105-7,147-25,525-35,735-50,029-178,675-250,145-1,250,725

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