Q: What are the factor combinations of the number 83,816,177?

 A:
Positive:   1 x 8381617729 x 289021341 x 2044297157 x 533861449 x 1866731189 x 704934553 x 184096437 x 13021
Negative: -1 x -83816177-29 x -2890213-41 x -2044297-157 x -533861-449 x -186673-1189 x -70493-4553 x -18409-6437 x -13021


How do I find the factor combinations of the number 83,816,177?

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 83,816,177, 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 83,816,177
-1 -83,816,177

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 83,816,177.

Example:
1 x 83,816,177 = 83,816,177
and
-1 x -83,816,177 = 83,816,177
Notice both answers equal 83,816,177

With that explanation out of the way, let's continue. Next, we take the number 83,816,177 and divide it by 2:

83,816,177 ÷ 2 = 41,908,088.5

If the quotient is a whole number, then 2 and 41,908,088.5 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 83,816,177
-1 -83,816,177

Now, we try dividing 83,816,177 by 3:

83,816,177 ÷ 3 = 27,938,725.6667

If the quotient is a whole number, then 3 and 27,938,725.6667 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 83,816,177
-1 -83,816,177

Let's try dividing by 4:

83,816,177 ÷ 4 = 20,954,044.25

If the quotient is a whole number, then 4 and 20,954,044.25 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 83,816,177
-1 83,816,177
Keep dividing by the next highest number until you cannot divide anymore.

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

129411574491,1894,5536,43713,02118,40970,493186,673533,8612,044,2972,890,21383,816,177
-1-29-41-157-449-1,189-4,553-6,437-13,021-18,409-70,493-186,673-533,861-2,044,297-2,890,213-83,816,177

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