Q: What are the factor combinations of the number 31,879,739?

 A:
Positive:   1 x 3187973919 x 167788167 x 47581779 x 403541317 x 1005671273 x 250431501 x 212395293 x 6023
Negative: -1 x -31879739-19 x -1677881-67 x -475817-79 x -403541-317 x -100567-1273 x -25043-1501 x -21239-5293 x -6023


How do I find the factor combinations of the number 31,879,739?

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 31,879,739, 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 31,879,739
-1 -31,879,739

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 31,879,739.

Example:
1 x 31,879,739 = 31,879,739
and
-1 x -31,879,739 = 31,879,739
Notice both answers equal 31,879,739

With that explanation out of the way, let's continue. Next, we take the number 31,879,739 and divide it by 2:

31,879,739 ÷ 2 = 15,939,869.5

If the quotient is a whole number, then 2 and 15,939,869.5 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 31,879,739
-1 -31,879,739

Now, we try dividing 31,879,739 by 3:

31,879,739 ÷ 3 = 10,626,579.6667

If the quotient is a whole number, then 3 and 10,626,579.6667 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 31,879,739
-1 -31,879,739

Let's try dividing by 4:

31,879,739 ÷ 4 = 7,969,934.75

If the quotient is a whole number, then 4 and 7,969,934.75 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 31,879,739
-1 31,879,739
Keep dividing by the next highest number until you cannot divide anymore.

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

11967793171,2731,5015,2936,02321,23925,043100,567403,541475,8171,677,88131,879,739
-1-19-67-79-317-1,273-1,501-5,293-6,023-21,239-25,043-100,567-403,541-475,817-1,677,881-31,879,739

More Examples

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