Q: What are the factor combinations of the number 2,132,225?

 A:
Positive:   1 x 21322255 x 42644517 x 12542525 x 8528929 x 7352585 x 25085145 x 14705173 x 12325425 x 5017493 x 4325725 x 2941865 x 2465
Negative: -1 x -2132225-5 x -426445-17 x -125425-25 x -85289-29 x -73525-85 x -25085-145 x -14705-173 x -12325-425 x -5017-493 x -4325-725 x -2941-865 x -2465


How do I find the factor combinations of the number 2,132,225?

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 2,132,225, 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 2,132,225
-1 -2,132,225

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 2,132,225.

Example:
1 x 2,132,225 = 2,132,225
and
-1 x -2,132,225 = 2,132,225
Notice both answers equal 2,132,225

With that explanation out of the way, let's continue. Next, we take the number 2,132,225 and divide it by 2:

2,132,225 ÷ 2 = 1,066,112.5

If the quotient is a whole number, then 2 and 1,066,112.5 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 2,132,225
-1 -2,132,225

Now, we try dividing 2,132,225 by 3:

2,132,225 ÷ 3 = 710,741.6667

If the quotient is a whole number, then 3 and 710,741.6667 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 2,132,225
-1 -2,132,225

Let's try dividing by 4:

2,132,225 ÷ 4 = 533,056.25

If the quotient is a whole number, then 4 and 533,056.25 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 2,132,225
-1 2,132,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15172529851451734254937258652,4652,9414,3255,01712,32514,70525,08573,52585,289125,425426,4452,132,225
-1-5-17-25-29-85-145-173-425-493-725-865-2,465-2,941-4,325-5,017-12,325-14,705-25,085-73,525-85,289-125,425-426,445-2,132,225

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