Q: What are the factor combinations of the number 31,288,579?

 A:
Positive:   1 x 312885797 x 446979723 x 136037331 x 1009309161 x 194339217 x 144187713 x 438834991 x 6269
Negative: -1 x -31288579-7 x -4469797-23 x -1360373-31 x -1009309-161 x -194339-217 x -144187-713 x -43883-4991 x -6269


How do I find the factor combinations of the number 31,288,579?

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 31,288,579, 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 31,288,579
-1 -31,288,579

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 31,288,579.

Example:
1 x 31,288,579 = 31,288,579
and
-1 x -31,288,579 = 31,288,579
Notice both answers equal 31,288,579

With that explanation out of the way, let's continue. Next, we take the number 31,288,579 and divide it by 2:

31,288,579 ÷ 2 = 15,644,289.5

If the quotient is a whole number, then 2 and 15,644,289.5 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 31,288,579
-1 -31,288,579

Now, we try dividing 31,288,579 by 3:

31,288,579 ÷ 3 = 10,429,526.3333

If the quotient is a whole number, then 3 and 10,429,526.3333 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 31,288,579
-1 -31,288,579

Let's try dividing by 4:

31,288,579 ÷ 4 = 7,822,144.75

If the quotient is a whole number, then 4 and 7,822,144.75 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 31,288,579
-1 31,288,579
Keep dividing by the next highest number until you cannot divide anymore.

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

1723311612177134,9916,26943,883144,187194,3391,009,3091,360,3734,469,79731,288,579
-1-7-23-31-161-217-713-4,991-6,269-43,883-144,187-194,339-1,009,309-1,360,373-4,469,797-31,288,579

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