Q: What are the factor combinations of the number 31,083,535?

 A:
Positive:   1 x 310835355 x 62167077 x 444050535 x 88810141 x 758135205 x 151627287 x 1083051435 x 21661
Negative: -1 x -31083535-5 x -6216707-7 x -4440505-35 x -888101-41 x -758135-205 x -151627-287 x -108305-1435 x -21661


How do I find the factor combinations of the number 31,083,535?

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 31,083,535, 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 31,083,535
-1 -31,083,535

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 31,083,535.

Example:
1 x 31,083,535 = 31,083,535
and
-1 x -31,083,535 = 31,083,535
Notice both answers equal 31,083,535

With that explanation out of the way, let's continue. Next, we take the number 31,083,535 and divide it by 2:

31,083,535 ÷ 2 = 15,541,767.5

If the quotient is a whole number, then 2 and 15,541,767.5 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 31,083,535
-1 -31,083,535

Now, we try dividing 31,083,535 by 3:

31,083,535 ÷ 3 = 10,361,178.3333

If the quotient is a whole number, then 3 and 10,361,178.3333 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 31,083,535
-1 -31,083,535

Let's try dividing by 4:

31,083,535 ÷ 4 = 7,770,883.75

If the quotient is a whole number, then 4 and 7,770,883.75 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 31,083,535
-1 31,083,535
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,43521,661108,305151,627758,135888,1014,440,5056,216,70731,083,535
-1-5-7-35-41-205-287-1,435-21,661-108,305-151,627-758,135-888,101-4,440,505-6,216,707-31,083,535

More Examples

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