Q: What are the factor combinations of the number 31,701,425?

 A:
Positive:   1 x 317014255 x 63402857 x 452877525 x 126805735 x 905755107 x 296275175 x 181151535 x 59255749 x 423251693 x 187252675 x 118513745 x 8465
Negative: -1 x -31701425-5 x -6340285-7 x -4528775-25 x -1268057-35 x -905755-107 x -296275-175 x -181151-535 x -59255-749 x -42325-1693 x -18725-2675 x -11851-3745 x -8465


How do I find the factor combinations of the number 31,701,425?

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 31,701,425, 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 31,701,425
-1 -31,701,425

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 31,701,425.

Example:
1 x 31,701,425 = 31,701,425
and
-1 x -31,701,425 = 31,701,425
Notice both answers equal 31,701,425

With that explanation out of the way, let's continue. Next, we take the number 31,701,425 and divide it by 2:

31,701,425 ÷ 2 = 15,850,712.5

If the quotient is a whole number, then 2 and 15,850,712.5 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 31,701,425
-1 -31,701,425

Now, we try dividing 31,701,425 by 3:

31,701,425 ÷ 3 = 10,567,141.6667

If the quotient is a whole number, then 3 and 10,567,141.6667 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 31,701,425
-1 -31,701,425

Let's try dividing by 4:

31,701,425 ÷ 4 = 7,925,356.25

If the quotient is a whole number, then 4 and 7,925,356.25 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 31,701,425
-1 31,701,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351071755357491,6932,6753,7458,46511,85118,72542,32559,255181,151296,275905,7551,268,0574,528,7756,340,28531,701,425
-1-5-7-25-35-107-175-535-749-1,693-2,675-3,745-8,465-11,851-18,725-42,325-59,255-181,151-296,275-905,755-1,268,057-4,528,775-6,340,285-31,701,425

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