Q: What are the factor combinations of the number 31,206,755?

 A:
Positive:   1 x 312067555 x 624135129 x 107609583 x 375985145 x 215219415 x 751972407 x 129652593 x 12035
Negative: -1 x -31206755-5 x -6241351-29 x -1076095-83 x -375985-145 x -215219-415 x -75197-2407 x -12965-2593 x -12035


How do I find the factor combinations of the number 31,206,755?

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 31,206,755, 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 31,206,755
-1 -31,206,755

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 31,206,755.

Example:
1 x 31,206,755 = 31,206,755
and
-1 x -31,206,755 = 31,206,755
Notice both answers equal 31,206,755

With that explanation out of the way, let's continue. Next, we take the number 31,206,755 and divide it by 2:

31,206,755 ÷ 2 = 15,603,377.5

If the quotient is a whole number, then 2 and 15,603,377.5 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 31,206,755
-1 -31,206,755

Now, we try dividing 31,206,755 by 3:

31,206,755 ÷ 3 = 10,402,251.6667

If the quotient is a whole number, then 3 and 10,402,251.6667 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 31,206,755
-1 -31,206,755

Let's try dividing by 4:

31,206,755 ÷ 4 = 7,801,688.75

If the quotient is a whole number, then 4 and 7,801,688.75 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 31,206,755
-1 31,206,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1529831454152,4072,59312,03512,96575,197215,219375,9851,076,0956,241,35131,206,755
-1-5-29-83-145-415-2,407-2,593-12,035-12,965-75,197-215,219-375,985-1,076,095-6,241,351-31,206,755

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