Q: What are the factor combinations of the number 117,018,161?

 A:
Positive:   1 x 11701816113 x 900139729 x 403510937 x 3162653377 x 310393481 x 2432811073 x 1090578389 x 13949
Negative: -1 x -117018161-13 x -9001397-29 x -4035109-37 x -3162653-377 x -310393-481 x -243281-1073 x -109057-8389 x -13949


How do I find the factor combinations of the number 117,018,161?

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 117,018,161, 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.

1 117,018,161
-1 -117,018,161

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 117,018,161.

Example:
1 x 117,018,161 = 117,018,161
and
-1 x -117,018,161 = 117,018,161
Notice both answers equal 117,018,161

With that explanation out of the way, let's continue. Next, we take the number 117,018,161 and divide it by 2:

117,018,161 ÷ 2 = 58,509,080.5

If the quotient is a whole number, then 2 and 58,509,080.5 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:

1 117,018,161
-1 -117,018,161

Now, we try dividing 117,018,161 by 3:

117,018,161 ÷ 3 = 39,006,053.6667

If the quotient is a whole number, then 3 and 39,006,053.6667 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:

1 117,018,161
-1 -117,018,161

Let's try dividing by 4:

117,018,161 ÷ 4 = 29,254,540.25

If the quotient is a whole number, then 4 and 29,254,540.25 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:

1 117,018,161
-1 117,018,161
Keep dividing by the next highest number until you cannot divide anymore.

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

11329373774811,0738,38913,949109,057243,281310,3933,162,6534,035,1099,001,397117,018,161
-1-13-29-37-377-481-1,073-8,389-13,949-109,057-243,281-310,393-3,162,653-4,035,109-9,001,397-117,018,161

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