Q: What are the factor combinations of the number 116,722,655?

 A:
Positive:   1 x 1167226555 x 233445317 x 1667466535 x 333493349 x 2382095245 x 476419
Negative: -1 x -116722655-5 x -23344531-7 x -16674665-35 x -3334933-49 x -2382095-245 x -476419


How do I find the factor combinations of the number 116,722,655?

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 116,722,655, 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.

1 116,722,655
-1 -116,722,655

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 116,722,655.

Example:
1 x 116,722,655 = 116,722,655
and
-1 x -116,722,655 = 116,722,655
Notice both answers equal 116,722,655

With that explanation out of the way, let's continue. Next, we take the number 116,722,655 and divide it by 2:

116,722,655 ÷ 2 = 58,361,327.5

If the quotient is a whole number, then 2 and 58,361,327.5 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:

1 116,722,655
-1 -116,722,655

Now, we try dividing 116,722,655 by 3:

116,722,655 ÷ 3 = 38,907,551.6667

If the quotient is a whole number, then 3 and 38,907,551.6667 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:

1 116,722,655
-1 -116,722,655

Let's try dividing by 4:

116,722,655 ÷ 4 = 29,180,663.75

If the quotient is a whole number, then 4 and 29,180,663.75 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:

1 116,722,655
-1 116,722,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549245476,4192,382,0953,334,93316,674,66523,344,531116,722,655
-1-5-7-35-49-245-476,419-2,382,095-3,334,933-16,674,665-23,344,531-116,722,655

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