Q: What are the factor combinations of the number 31,221,185?

 A:
Positive:   1 x 312211855 x 624423731 x 100713571 x 439735155 x 201427355 x 879472201 x 141852837 x 11005
Negative: -1 x -31221185-5 x -6244237-31 x -1007135-71 x -439735-155 x -201427-355 x -87947-2201 x -14185-2837 x -11005


How do I find the factor combinations of the number 31,221,185?

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 31,221,185, 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 31,221,185
-1 -31,221,185

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 31,221,185.

Example:
1 x 31,221,185 = 31,221,185
and
-1 x -31,221,185 = 31,221,185
Notice both answers equal 31,221,185

With that explanation out of the way, let's continue. Next, we take the number 31,221,185 and divide it by 2:

31,221,185 ÷ 2 = 15,610,592.5

If the quotient is a whole number, then 2 and 15,610,592.5 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 31,221,185
-1 -31,221,185

Now, we try dividing 31,221,185 by 3:

31,221,185 ÷ 3 = 10,407,061.6667

If the quotient is a whole number, then 3 and 10,407,061.6667 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 31,221,185
-1 -31,221,185

Let's try dividing by 4:

31,221,185 ÷ 4 = 7,805,296.25

If the quotient is a whole number, then 4 and 7,805,296.25 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 31,221,185
-1 31,221,185
Keep dividing by the next highest number until you cannot divide anymore.

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

1531711553552,2012,83711,00514,18587,947201,427439,7351,007,1356,244,23731,221,185
-1-5-31-71-155-355-2,201-2,837-11,005-14,185-87,947-201,427-439,735-1,007,135-6,244,237-31,221,185

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