Q: What are the factor combinations of the number 31,663,121?

 A:
Positive:   1 x 316631217 x 452330331 x 102139179 x 400799217 x 145913553 x 572571847 x 171432449 x 12929
Negative: -1 x -31663121-7 x -4523303-31 x -1021391-79 x -400799-217 x -145913-553 x -57257-1847 x -17143-2449 x -12929


How do I find the factor combinations of the number 31,663,121?

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 31,663,121, 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 31,663,121
-1 -31,663,121

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 31,663,121.

Example:
1 x 31,663,121 = 31,663,121
and
-1 x -31,663,121 = 31,663,121
Notice both answers equal 31,663,121

With that explanation out of the way, let's continue. Next, we take the number 31,663,121 and divide it by 2:

31,663,121 ÷ 2 = 15,831,560.5

If the quotient is a whole number, then 2 and 15,831,560.5 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 31,663,121
-1 -31,663,121

Now, we try dividing 31,663,121 by 3:

31,663,121 ÷ 3 = 10,554,373.6667

If the quotient is a whole number, then 3 and 10,554,373.6667 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 31,663,121
-1 -31,663,121

Let's try dividing by 4:

31,663,121 ÷ 4 = 7,915,780.25

If the quotient is a whole number, then 4 and 7,915,780.25 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 31,663,121
-1 31,663,121
Keep dividing by the next highest number until you cannot divide anymore.

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

1731792175531,8472,44912,92917,14357,257145,913400,7991,021,3914,523,30331,663,121
-1-7-31-79-217-553-1,847-2,449-12,929-17,143-57,257-145,913-400,799-1,021,391-4,523,303-31,663,121

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