Q: What are the factor combinations of the number 31,571,305?

 A:
Positive:   1 x 315713055 x 631426153 x 595685109 x 289645265 x 119137545 x 579291093 x 288855465 x 5777
Negative: -1 x -31571305-5 x -6314261-53 x -595685-109 x -289645-265 x -119137-545 x -57929-1093 x -28885-5465 x -5777


How do I find the factor combinations of the number 31,571,305?

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 31,571,305, 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 31,571,305
-1 -31,571,305

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 31,571,305.

Example:
1 x 31,571,305 = 31,571,305
and
-1 x -31,571,305 = 31,571,305
Notice both answers equal 31,571,305

With that explanation out of the way, let's continue. Next, we take the number 31,571,305 and divide it by 2:

31,571,305 ÷ 2 = 15,785,652.5

If the quotient is a whole number, then 2 and 15,785,652.5 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 31,571,305
-1 -31,571,305

Now, we try dividing 31,571,305 by 3:

31,571,305 ÷ 3 = 10,523,768.3333

If the quotient is a whole number, then 3 and 10,523,768.3333 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 31,571,305
-1 -31,571,305

Let's try dividing by 4:

31,571,305 ÷ 4 = 7,892,826.25

If the quotient is a whole number, then 4 and 7,892,826.25 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 31,571,305
-1 31,571,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15531092655451,0935,4655,77728,88557,929119,137289,645595,6856,314,26131,571,305
-1-5-53-109-265-545-1,093-5,465-5,777-28,885-57,929-119,137-289,645-595,685-6,314,261-31,571,305

More Examples

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