Q: What are the factor combinations of the number 116,241,665?

 A:
Positive:   1 x 1162416655 x 2324833317 x 683774585 x 1367549277 x 4196451385 x 839294709 x 246854937 x 23545
Negative: -1 x -116241665-5 x -23248333-17 x -6837745-85 x -1367549-277 x -419645-1385 x -83929-4709 x -24685-4937 x -23545


How do I find the factor combinations of the number 116,241,665?

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 116,241,665, 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.

1 116,241,665
-1 -116,241,665

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 116,241,665.

Example:
1 x 116,241,665 = 116,241,665
and
-1 x -116,241,665 = 116,241,665
Notice both answers equal 116,241,665

With that explanation out of the way, let's continue. Next, we take the number 116,241,665 and divide it by 2:

116,241,665 ÷ 2 = 58,120,832.5

If the quotient is a whole number, then 2 and 58,120,832.5 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:

1 116,241,665
-1 -116,241,665

Now, we try dividing 116,241,665 by 3:

116,241,665 ÷ 3 = 38,747,221.6667

If the quotient is a whole number, then 3 and 38,747,221.6667 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:

1 116,241,665
-1 -116,241,665

Let's try dividing by 4:

116,241,665 ÷ 4 = 29,060,416.25

If the quotient is a whole number, then 4 and 29,060,416.25 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:

1 116,241,665
-1 116,241,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852771,3854,7094,93723,54524,68583,929419,6451,367,5496,837,74523,248,333116,241,665
-1-5-17-85-277-1,385-4,709-4,937-23,545-24,685-83,929-419,645-1,367,549-6,837,745-23,248,333-116,241,665

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