Q: What are the factor combinations of the number 31,822,685?

 A:
Positive:   1 x 318226855 x 636453723 x 1383595115 x 276719167 x 190555835 x 381111657 x 192053841 x 8285
Negative: -1 x -31822685-5 x -6364537-23 x -1383595-115 x -276719-167 x -190555-835 x -38111-1657 x -19205-3841 x -8285


How do I find the factor combinations of the number 31,822,685?

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 31,822,685, 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 31,822,685
-1 -31,822,685

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 31,822,685.

Example:
1 x 31,822,685 = 31,822,685
and
-1 x -31,822,685 = 31,822,685
Notice both answers equal 31,822,685

With that explanation out of the way, let's continue. Next, we take the number 31,822,685 and divide it by 2:

31,822,685 ÷ 2 = 15,911,342.5

If the quotient is a whole number, then 2 and 15,911,342.5 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 31,822,685
-1 -31,822,685

Now, we try dividing 31,822,685 by 3:

31,822,685 ÷ 3 = 10,607,561.6667

If the quotient is a whole number, then 3 and 10,607,561.6667 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 31,822,685
-1 -31,822,685

Let's try dividing by 4:

31,822,685 ÷ 4 = 7,955,671.25

If the quotient is a whole number, then 4 and 7,955,671.25 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 31,822,685
-1 31,822,685
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151678351,6573,8418,28519,20538,111190,555276,7191,383,5956,364,53731,822,685
-1-5-23-115-167-835-1,657-3,841-8,285-19,205-38,111-190,555-276,719-1,383,595-6,364,537-31,822,685

More Examples

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