Q: What are the factor combinations of the number 82,755,337?

 A:
Positive:   1 x 827553377 x 1182219117 x 486796131 x 2669527119 x 695423217 x 381361527 x 1570313689 x 22433
Negative: -1 x -82755337-7 x -11822191-17 x -4867961-31 x -2669527-119 x -695423-217 x -381361-527 x -157031-3689 x -22433


How do I find the factor combinations of the number 82,755,337?

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 82,755,337, 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 82,755,337
-1 -82,755,337

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 82,755,337.

Example:
1 x 82,755,337 = 82,755,337
and
-1 x -82,755,337 = 82,755,337
Notice both answers equal 82,755,337

With that explanation out of the way, let's continue. Next, we take the number 82,755,337 and divide it by 2:

82,755,337 ÷ 2 = 41,377,668.5

If the quotient is a whole number, then 2 and 41,377,668.5 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 82,755,337
-1 -82,755,337

Now, we try dividing 82,755,337 by 3:

82,755,337 ÷ 3 = 27,585,112.3333

If the quotient is a whole number, then 3 and 27,585,112.3333 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 82,755,337
-1 -82,755,337

Let's try dividing by 4:

82,755,337 ÷ 4 = 20,688,834.25

If the quotient is a whole number, then 4 and 20,688,834.25 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 82,755,337
-1 82,755,337
Keep dividing by the next highest number until you cannot divide anymore.

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

1717311192175273,68922,433157,031381,361695,4232,669,5274,867,96111,822,19182,755,337
-1-7-17-31-119-217-527-3,689-22,433-157,031-381,361-695,423-2,669,527-4,867,961-11,822,191-82,755,337

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