Q: What are the factor combinations of the number 31,939,703?

 A:
Positive:   1 x 3193970319 x 168103731 x 1030313211 x 151373257 x 124279589 x 542274009 x 79674883 x 6541
Negative: -1 x -31939703-19 x -1681037-31 x -1030313-211 x -151373-257 x -124279-589 x -54227-4009 x -7967-4883 x -6541


How do I find the factor combinations of the number 31,939,703?

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 31,939,703, 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 31,939,703
-1 -31,939,703

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 31,939,703.

Example:
1 x 31,939,703 = 31,939,703
and
-1 x -31,939,703 = 31,939,703
Notice both answers equal 31,939,703

With that explanation out of the way, let's continue. Next, we take the number 31,939,703 and divide it by 2:

31,939,703 ÷ 2 = 15,969,851.5

If the quotient is a whole number, then 2 and 15,969,851.5 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 31,939,703
-1 -31,939,703

Now, we try dividing 31,939,703 by 3:

31,939,703 ÷ 3 = 10,646,567.6667

If the quotient is a whole number, then 3 and 10,646,567.6667 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 31,939,703
-1 -31,939,703

Let's try dividing by 4:

31,939,703 ÷ 4 = 7,984,925.75

If the quotient is a whole number, then 4 and 7,984,925.75 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 31,939,703
-1 31,939,703
Keep dividing by the next highest number until you cannot divide anymore.

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

119312112575894,0094,8836,5417,96754,227124,279151,3731,030,3131,681,03731,939,703
-1-19-31-211-257-589-4,009-4,883-6,541-7,967-54,227-124,279-151,373-1,030,313-1,681,037-31,939,703

More Examples

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