Q: What are the factor combinations of the number 31,833,685?

 A:
Positive:   1 x 318336855 x 636673713 x 244874565 x 489749101 x 315185169 x 188365373 x 85345505 x 63037845 x 376731313 x 242451865 x 170694849 x 6565
Negative: -1 x -31833685-5 x -6366737-13 x -2448745-65 x -489749-101 x -315185-169 x -188365-373 x -85345-505 x -63037-845 x -37673-1313 x -24245-1865 x -17069-4849 x -6565


How do I find the factor combinations of the number 31,833,685?

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 31,833,685, 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 31,833,685
-1 -31,833,685

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 31,833,685.

Example:
1 x 31,833,685 = 31,833,685
and
-1 x -31,833,685 = 31,833,685
Notice both answers equal 31,833,685

With that explanation out of the way, let's continue. Next, we take the number 31,833,685 and divide it by 2:

31,833,685 ÷ 2 = 15,916,842.5

If the quotient is a whole number, then 2 and 15,916,842.5 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 31,833,685
-1 -31,833,685

Now, we try dividing 31,833,685 by 3:

31,833,685 ÷ 3 = 10,611,228.3333

If the quotient is a whole number, then 3 and 10,611,228.3333 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 31,833,685
-1 -31,833,685

Let's try dividing by 4:

31,833,685 ÷ 4 = 7,958,421.25

If the quotient is a whole number, then 4 and 7,958,421.25 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 31,833,685
-1 31,833,685
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651011693735058451,3131,8654,8496,56517,06924,24537,67363,03785,345188,365315,185489,7492,448,7456,366,73731,833,685
-1-5-13-65-101-169-373-505-845-1,313-1,865-4,849-6,565-17,069-24,245-37,673-63,037-85,345-188,365-315,185-489,749-2,448,745-6,366,737-31,833,685

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