Q: What are the factor combinations of the number 31,043,425?

 A:
Positive:   1 x 310434255 x 62086857 x 443477525 x 124173735 x 88695553 x 585725175 x 177391265 x 117145371 x 836751325 x 234291855 x 167353347 x 9275
Negative: -1 x -31043425-5 x -6208685-7 x -4434775-25 x -1241737-35 x -886955-53 x -585725-175 x -177391-265 x -117145-371 x -83675-1325 x -23429-1855 x -16735-3347 x -9275


How do I find the factor combinations of the number 31,043,425?

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 31,043,425, 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 31,043,425
-1 -31,043,425

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 31,043,425.

Example:
1 x 31,043,425 = 31,043,425
and
-1 x -31,043,425 = 31,043,425
Notice both answers equal 31,043,425

With that explanation out of the way, let's continue. Next, we take the number 31,043,425 and divide it by 2:

31,043,425 ÷ 2 = 15,521,712.5

If the quotient is a whole number, then 2 and 15,521,712.5 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 31,043,425
-1 -31,043,425

Now, we try dividing 31,043,425 by 3:

31,043,425 ÷ 3 = 10,347,808.3333

If the quotient is a whole number, then 3 and 10,347,808.3333 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 31,043,425
-1 -31,043,425

Let's try dividing by 4:

31,043,425 ÷ 4 = 7,760,856.25

If the quotient is a whole number, then 4 and 7,760,856.25 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 31,043,425
-1 31,043,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535531752653711,3251,8553,3479,27516,73523,42983,675117,145177,391585,725886,9551,241,7374,434,7756,208,68531,043,425
-1-5-7-25-35-53-175-265-371-1,325-1,855-3,347-9,275-16,735-23,429-83,675-117,145-177,391-585,725-886,955-1,241,737-4,434,775-6,208,685-31,043,425

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